{"id":4472,"date":"2013-06-29T06:21:18","date_gmt":"2013-06-29T06:21:18","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=4472"},"modified":"2026-03-25T11:25:14","modified_gmt":"2026-03-25T16:25:14","slug":"fractions","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/fractions\/","title":{"rendered":"Overview of Fractions"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_T1TqHuwXZDE\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_T1TqHuwXZDE\" data-source-videoID=\"T1TqHuwXZDE\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Overview of Fractions Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Overview of Fractions\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_T1TqHuwXZDE:hover {cursor:pointer;} img#videoThumbnailImage_T1TqHuwXZDE {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/717-all-about-fractions-3.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_T1TqHuwXZDE\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_T1TqHuwXZDE\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Overview of Fractions\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_T1TqHuwXZDE\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_T1TqHuwXZDE\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_T1TqHuwXZDE\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction v1x_Function() {\n  var x = document.getElementById(\"v1x\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"v1x_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"v1x\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#What_is_a_Fraction\" class=\"smooth-scroll\">What is a Fraction?<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Proper_Fractions\" class=\"smooth-scroll\">Proper Fractions<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Equivalent_Fractions\" class=\"smooth-scroll\">Equivalent Fractions<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Adding_Fractions_with_Different_Denominators\" class=\"smooth-scroll\">Adding Fractions with Different Denominators<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Subtracting_Fractions_with_Different_Denominators\" class=\"smooth-scroll\">Subtracting Fractions with Different Denominators<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Finding_the_Least_Common_Denominator\" class=\"smooth-scroll\">Finding the Least Common Denominator<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Frequently_Asked_Questions\" class=\"smooth-scroll\">Frequently Asked Questions<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Types_of_Fractions_with_Examples_PDF\" class=\"smooth-scroll\">Types of Fractions with Examples PDF<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Fraction_Problems\" class=\"smooth-scroll\">Fraction Problems<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Fraction_Worksheets\" class=\"smooth-scroll\">Fraction Worksheets<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"FAQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"FAQs\">FAQs<\/label><input id=\"factsheet\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"factsheet\">Fact Sheet<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label><input id=\"worksheets\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"worksheets\">Worksheets<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hey guys, welcome to this Mometrix video on fractions. Fractions can be simple or complex. In this video, we\u2019ll cover different types of fractions and how to <a href=\"https:\/\/www.mometrix.com\/academy\/adding-and-subtracting-fractions\/\"><strong>add fractions<\/strong><\/a> with different denominators. <\/p>\n<h2><span id=\"What_is_a_Fraction\" class=\"m-toc-anchor\"><\/span>What is a Fraction?<\/h2>\n<p>\nSo, what is a fraction? A fraction is a part of a whole, which means a fraction can never be a whole number. Think of it like this: <\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/eighths-sircle-300x300.png\" alt=\"\" width=\"300\" height=\"300\" class=\"alignnone size-medium wp-image-84466\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/eighths-sircle-300x300.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/eighths-sircle-150x150.png 150w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/eighths-sircle.png 631w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Our circle is divided into eight equal pieces. Let\u2019s say three pieces were filled in.<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/eighths-sircle-with-color-300x300.png\" alt=\"\" width=\"300\" height=\"300\" class=\"alignnone size-medium wp-image-84472\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/eighths-sircle-with-color-300x300.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/eighths-sircle-with-color-150x150.png 150w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/06\/eighths-sircle-with-color.png 631w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>That means that \\(\\frac{3}{8}\\) of our circle is filled in. The top number (3) is called the <strong>numerator<\/strong>. The bottom number of a fraction is called the <strong>denominator<\/strong> (8, in this case). When saying fractions out loud, the denominator will usually be spoken as the ordinal version of the number. You would say \u201ceighth\u201d instead of \u201ceight,\u201d or \u201cthird\u201d instead of \u201cthree.\u201d <\/p>\n<p>Let&#8217;s take a look at a list of our denominators and see how we would say them. <\/p>\n<blockquote style=\"border: 0px; padding: 30px; background-color: #eee; box-shadow: 1.5px 1.5px 5px grey; width:80%; margin: auto;\">\n<div style=\"font-style:normal; font-size:90%; text-align:center;\"><strong>2<\/strong> = half<br \/>\n<strong>3<\/strong> = third<br \/>\n<strong>4<\/strong> = fourth or quarter<br \/>\n<strong>5<\/strong> = fifth<br \/>\n<strong>6<\/strong> = sixth<br \/>\n<strong>7<\/strong> = seventh<br \/>\n<strong>8<\/strong> = eighth<br \/>\n<strong>9<\/strong> = ninth<br \/>\n<strong>10<\/strong> = tenth<\/div>\n<\/blockquote>\n<p>\n&nbsp;<\/p>\n<p>As you can see, there are a couple of exceptions. If our denominator is 2, you can say \u201chalf\u201d instead of &#8220;second,&#8221; or if our denominator is 4, you could say \u201cquarter\u201d instead of \u201cfourth;&#8221; either one is acceptable. Hopefully, that helps you to understand how fractions are defined, and also how to actually say them out loud. But there are different types of fractions. Let\u2019s take a look at those.<\/p>\n<h2><span id=\"Proper_Fractions\" class=\"m-toc-anchor\"><\/span>Proper Fractions<\/h2>\n<p>\nFirst, we have a proper fraction. A <strong>proper fraction<\/strong> always has a numerator (which we looked at) that is smaller than the denominator. Our example that we used before, \\(\\frac{3}{8}\\), so our numerator, 3, is smaller than our denominator, 8. Some other examples of proper fractions include \\(\\frac{4}{5}\\), \\(\\frac{5}{9}\\), and \\(\\frac{23}{50}\\). An <strong>improper fraction<\/strong> is the opposite of a proper fraction, in that the numerator is larger than the denominator. So, while \\(\\frac{3}{8}\\) is a proper fraction, \\(\\frac{8}{3}\\) is an improper fraction because the numerator is larger than our denominator. Improper fractions are always equal to or greater than 1. That means \\(\\frac{9}{9}\\) is an improper fraction since it&#8217;s equal to 1. There are also <strong>mixed fractions<\/strong>, which contain a whole number and a proper fraction. Here\u2019s an example: 2\\(\\frac{3}{4}\\). Note that the whole number, 2, is followed by the proper fraction, \\(\\frac{3}{4}\\). <\/p>\n<h2><span id=\"Equivalent_Fractions\" class=\"m-toc-anchor\"><\/span>Equivalent Fractions<\/h2>\n<p>\nWe also have equivalent fractions. Equivalent fractions are two different fractions that name the same number. For example: \\(\\frac{6}{8}\\) and \\(\\frac{3}{4}\\) look different, but they\u2019re the same. \\(\\frac{3}{4}\\) is just a simplified, or reduced, version of \\(\\frac{6}{8}\\). To simplify \\(\\frac{6}{8}\\), you just divide the numerator and the denominator by 2 to get \\(\\frac{3}{4}\\). Now that we know the different types of fractions, we can explore how to add them. If two fractions have the same denominator, adding is a breeze. You just add the numerators together, and that gives you the answer. For example: \\(\\frac{1}{4} + \\frac{2}{4} = \\frac{3}{4}\\)<\/p>\n<h2><span id=\"Adding_Fractions_with_Different_Denominators\" class=\"m-toc-anchor\"><\/span>Adding Fractions with Different Denominators<\/h2>\n<p>\nSo notice what we did to get \\(\\frac{3}{4}\\). All we had to do was add, from our first fraction the 1 from our numerator, and from our second fraction the 2 from our numerator. Add them together to get 3, and just bring over our 4 from the denominator. Simple. But what happens if the denominators are different? Well, in that case, you have to convert the denominators to be the same. So let\u2019s take a look at an example: \\(\\frac{3}{8} + \\frac{1}{2} = x\\)<\/p>\n<p>You can\u2019t really simplify \\(\\frac{3}{8}\\) into anything that would easily add with \\(\\frac{1}{2}\\), but we can do something with \\(\\frac{1}{2}\\) that we can easily add with \\(\\frac{3}{8}\\), and that&#8217;s multiplying 2 by 4, which would give us 8. But whatever we do to our denominator, we also have to do to our denominator. So that would look like this: \\(\\frac{3}{8} + \\frac{1\\times 4}{2\\times 4} = x\\)<\/p>\n<p>So our equation now becomes: \\(\\frac{3}{8} + \\frac{4}{8} = \\frac{7}{8}\\)<\/p>\n<h2><span id=\"Subtracting_Fractions_with_Different_Denominators\" class=\"m-toc-anchor\"><\/span>Subtracting Fractions with Different Denominators<\/h2>\n<p>\nSubtraction works the same way. If you\u2019re subtracting fractions with the same denominator, you can just subtract the top numbers, like in this example: \\(\\frac{3}{4} &#8211; \\frac{1}{4} = \\frac{2}{4} = \\frac{1}{2}\\)<\/p>\n<p>So in this example, all we had to do was subtract our top numerators here, to give us \\(\\frac{2}{4}\\), which simplifies to \\(\\frac{1}{2}\\). Simplifying numbers just makes them easier to work with. But if you\u2019re subtracting with a different denominator, you have to make the denominators match. For example: \\(\\frac{3}{8} &#8211; \\frac{1}{4} = x\\)<\/p>\n<p>So in this example, \\(\\frac{3}{8} &#8211; \\frac{1}{4} = x\\), we are kinda looking at the same issue like we did over here (\\(\\frac{3}{8} + \\frac{1}{2} = x\\)), we need our denominators to match. So we need to find out, what can we do to make our denominators match? Well in this case, we can multiply <span style=\"font-style:normal; font-size:90%\">\\(4\\times 2\\)<\/span>, but remember we have to do the same thing that we did to the denominator, we must do to our numerator. So we multiply it by 2 and then here&#8217;s what we get: \\(\\frac{3}{8}-\\frac{1\\times 2}{4\\times 2}=\\frac{3}{8} &#8211; \\frac{2}{8} = \\frac{1}{8}\\)<\/p>\n<p>So once we multiply our second fraction here by 2, we get \\(\\frac{3}{8} &#8211; \\frac{2}{8} = \\frac{1}{8}\\). So these problems were pretty easy because they had either the same denominator or were easy to convert. <\/p>\n<h2><span id=\"Finding_the_Least_Common_Denominator\" class=\"m-toc-anchor\"><\/span>Finding the Least Common Denominator<\/h2>\n<p>\nBut let\u2019s look at one more equation that\u2019s a little trickier: \\(\\frac{3}{4} + \\frac{6}{7}\\)<\/p>\n<p>So at first glance, it doesn&#8217;t look like these numbers have much in common such that we would be able to multiply or divide 4 by anything to get 7, or 7 by anything to get 4. So a lot of the times when you have problems like this, what you end up having to do is multiply this fraction (\\(\\frac{3}{4}\\)) by the denominator of the other fraction. And likewise, we would multiply this fraction (\\(\\frac{6}{7}\\)) by the denominator of this fraction (\\(\\frac{3}{4}\\)). So here&#8217;s what that looks like: \\(\\frac{3 \\times 7}{4 \\times 7} + \\frac{6 \\times 4}{7 \\times 4}=\\frac{21}{28} + \\frac{24}{28}\\)<\/p>\n<p>So after multiplication, we end up getting a common denominator, which is 28. So now all we have to do is add our numerators together, which that gives us: \\(\\frac{21}{28} + \\frac{24}{28} = \\frac{45}{28}\\)<\/p>\n<p>And that&#8217;s our answer! With this calculation, we found the least common denominator. The <a href=\"https:\/\/www.mometrix.com\/academy\/greatest-common-factor\/\"><strong>least common denominator<\/strong><\/a> is the smallest common number between denominators. Any time you perform a calculation with different denominators, you must find the least common denominator to solve the problem. So that\u2019s our look at fractions. <\/p>\n<p>I hope this video was helpful to you!<\/p>\n<p>For more help, check out our <a class=\"ylist\" target=\"_blank\" rel=\"noopener noreferrer\" href=\"https:\/\/www.mometrix.com\/academy\/fractions-calculator\/\">fractions calculator<\/a>!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"FAQs-spoiler\">\n<h2 style=\"text-align:center\">Frequently Asked Questions<\/h2>\n<div class=\"faq-list\">\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What are the 3 types of fractions?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>The three types of fractions are: proper fractions, improper fractions, and mixed numbers.<\/p>\n<p>A proper fraction is a fraction whose numerator is less than its denominator, like \\(\\dfrac{2}{5}\\).<\/p>\n<p>An improper fraction is a fraction whose numerator is greater than its denominator, like \\(\\dfrac{5}{2}\\).<\/p>\n<p>A mixed number is a fraction that has a whole number part and a proper fraction part, like \\(3\\frac{1}{5}\\).<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What are fractions?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Fractions are numbers that represent part of a whole.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What is an improper fraction?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>An improper fraction is a fraction whose numerator is greater than its denominator. It represents a number greater than 1.<\/p>\n<p>For example, :\\(\\frac{7}{2}\\), \\(\\frac{14}{11}\\), \\(\\frac{9}{5}\\), and \\(\\frac{17}{6}\\) are all improper fractions.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you know fractions are similar?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>You can know if fractions are similar or not by looking at their denominators. If they have the same denominator, then they are similar. If they do not have the same denominator, they are not similar.<\/p>\n<p>Similar Fractions: \\(\\dfrac{1}{4}\\) and \\(\\dfrac{3}{4}\\)<\/p>\n<p>Unsimilar Fractions: \\(\\dfrac{1}{3}\\) and \\(\\dfrac{1}{5}\\)<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you describe a fraction in words?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>To write a fraction in words, write the numerator, then a hyphen, then the denominator as an ordinal number (like it\u2019s a place in line).<\/p>\n<p>\\(\\dfrac{3}{4}=\\) three-fourths<\/p>\n<p>\\(\\dfrac{7}{11}=\\) seven-elevenths<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do I write fractions?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Write fractions by placing the part over the whole:<\/p>\n<p style=\"text-align: center\">\\(\\dfrac{\\text{part}}{\\text{whole}}\\)<\/p>\n<p>For example, if there are seven cookies and you eat two of them, the part is 2, and the whole is 7. So the fraction that represents the amount of cookies eaten is \\(\\frac{2}{7}\\).<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"factsheet-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Types_of_Fractions_with_Examples_PDF\" class=\"m-toc-anchor\"><\/span>Types of Fractions with Examples PDF<\/h2>\n<div>\n\t\t\t\t\t<img width=\"1362\" height=\"1764\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-06_110613.png\" class=\"attachment-full size-full\" alt=\"An educational graphic explaining fractions with visual examples of proper fractions, improper fractions, mixed numbers, and equivalent fractions. Includes text definitions and illustrations.\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-06_110613.png 1362w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-06_110613-232x300.png 232w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-06_110613-791x1024.png 791w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-06_110613-768x995.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-06_110613-1186x1536.png 1186w\" sizes=\"auto, (max-width: 1362px) 100vw, 1362px\" \/><\/p>\n<div class=\"sub_categories\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/Fractions-Fact-Sheet.pdf\"><span id=\"Your_Types_of_Fractions_PDF_Download\" class=\"m-toc-anchor\"><\/span>Your Types of Fractions PDF Download<\/a>\n\t\t\t\t\t<\/div>\n<\/p>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Fraction_Problems\" class=\"m-toc-anchor\"><\/span>Fraction Problems<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich of the following is an improper fraction?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">\\(\\dfrac{6}{9}\\)<\/div><div class=\"PQ\"  id=\"PQ-1-2\">\\(\\dfrac{11}{17}\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-3\">\\(\\dfrac{21}{8}\\)<\/div><div class=\"PQ\"  id=\"PQ-1-4\">\\(\\dfrac{14}{30}\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The correct answer is \\(\\frac{21}{8}\\). An improper fraction is a fraction whose numerator is greater than its denominator. <\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich of the following fraction is equivalent to \\(\\dfrac{6}{8}\\)?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-2-1\">\\(\\dfrac{3}{4}\\)<\/div><div class=\"PQ\"  id=\"PQ-2-2\">\\(\\dfrac{7}{9}\\)<\/div><div class=\"PQ\"  id=\"PQ-2-3\">\\(\\dfrac{16}{18}\\)<\/div><div class=\"PQ\"  id=\"PQ-2-4\">\\(\\dfrac{8}{10}\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The correct answer is \\(\\frac{3}{4}\\). Equivalent fractions are fractions that name the same number. \\(\\frac{6}{8}\\) is the same as \\(\\frac{3}{4}\\) because dividing both the numerator and denominator by \\(\\frac{6}{8}\\) by 2 results in \\(\\frac{3}{4}\\).<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\n\\(\\dfrac{2}{12}+\\dfrac{7}{12}=\\)<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">\\(\\dfrac{5}{12}\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-2\">\\(\\dfrac{9}{12}\\)<\/div><div class=\"PQ\"  id=\"PQ-3-3\">\\(\\dfrac{11}{12}\\)<\/div><div class=\"PQ\"  id=\"PQ-3-4\">\\(\\dfrac{14}{12}\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>To add fractions with the same denominator, simply add the numbers in the numerators and keep the denominator the same. \\(2+7=9\\), so \\(\\frac{2}{12}+\\frac{7}{12}=\\frac{9}{12}\\). <\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\n\\(\\dfrac{5}{6}-\\dfrac{2}{3}=\\)<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">\\(\\dfrac{3}{3}\\)<\/div><div class=\"PQ\"  id=\"PQ-4-2\">\\(\\dfrac{3}{6}\\)<\/div><div class=\"PQ\"  id=\"PQ-4-3\">\\(\\dfrac{1}{3}\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-4\">\\(\\dfrac{1}{6}\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The correct answer is \\(\\frac{1}{6}\\). To subtract fractions, first convert them to fractions with the same denominator. \\(\\frac{2}{3}\\) can be converted to \\(\\frac{4}{6}\\) by multiplying both the numerator and denominator by 2.<br \/>\n\\(\\frac{5}{6}-\\frac{4}{6}\\)<br \/>\nThen, subtract the numerators and keep the denominator the same. \\(5-4=1\\), so \\(\\frac{5}{6}-\\frac{4}{6}=\\frac{1}{6}\\).<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\n\\(\\dfrac{3}{7}+\\dfrac{2}{5}=\\)<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-5-1\">\\(\\dfrac{29}{35}\\)<\/div><div class=\"PQ\"  id=\"PQ-5-2\">\\(\\dfrac{5}{7}\\)<\/div><div class=\"PQ\"  id=\"PQ-5-3\">\\(\\dfrac{1}{5}\\)<\/div><div class=\"PQ\"  id=\"PQ-5-4\">\\(\\dfrac{16}{35}\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The correct answer is \\(\\frac{29}{35}\\). To add fractions, first convert them to fractions with the same denominator. This can be done by multiplying \\(\\frac{3}{7}\\) by \\(\\frac{5}{5}\\) and \\(\\frac{2}{5}\\) by \\(\\frac{7}{7}\\).<br \/>\n\\(\\frac{3}{7}\\times\\frac{5}{5}+\\frac{2}{5}\\times\\frac{7}{7}\\)<br \/>\n\\(\\frac{15}{35}+\\frac{14}{35}\\)<br \/>\nThen, add the numerators and keep the denominator the same. \\(15+14=29\\), so \\(\\frac{15}{35}+\\frac{14}{35}=\\frac{29}{35}\\).<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<div class=\"spoiler\" id=\"worksheets-spoiler\">\n<h2 style=\"text-align:center;\"><span id=\"Fraction_Worksheets\" class=\"m-toc-anchor\"><\/span>Fraction Worksheets<\/h2>\n<div style=\"display: flex;flex-flow: row wrap;justify-content: center;\">\n<p style=\"width:100%;\">Use our free printable fraction worksheets for additional practice! We&#8217;ve provided equivalent fractions worksheets, dividing fractions worksheets, multiplying fractions worksheets, and adding and subtracting fractions worksheets, all available to download for free.<\/p>\n<div style=\"text-align:center;max-width:300px;margin:15px;\">\n\t\t\t\t\t\t<strong>Equivalent Fractions Worksheets<\/strong><br \/>\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Equivalent-Fractions-Worksheets.pdf\"><br \/>\n\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Equivalent-Fractions-Worksheets-05-scaled.webp\" alt=\"Equivalent Fractions Worksheets Worksheet Preview\" style=\"box-shadow: 1.5px 1.5px 5px grey;\"><br \/>\n\t\t\t\t\t\t\t<button class=\"buttonmltpctn\" style=\"width: 90%;color: black;font-size: 0.9em;\" data-uw-styling-context=\"true\">CLICK HERE TO DOWNLOAD<\/button><br \/>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/div>\n<div style=\"text-align:center;max-width:300px;margin:15px;\">\n\t\t\t\t\t\t<strong>Equivalent Fractions (Answer Key)<\/strong><br \/>\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Equivalent-Fractions-Worksheet-Answer-Keys.pdf\"><br \/>\n\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Equivalent-Fractions-Worksheets-09-scaled.webp\" alt=\"Equivalent Fractions (Answer Key) Worksheet Preview\" style=\"box-shadow: 1.5px 1.5px 5px grey;\"><br \/>\n\t\t\t\t\t\t\t<button class=\"buttonmltpctn\" style=\"width: 90%;color: black;font-size: 0.9em;\" data-uw-styling-context=\"true\">CLICK HERE TO DOWNLOAD<\/button><br \/>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/div>\n<div style=\"text-align:center;max-width:300px;margin:15px;\">\n\t\t\t\t\t\t<strong>Adding and Subtracting Fractions Worksheets<\/strong><br \/>\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Adding-and-Subtracting-Fractions-Worksheets.pdf\"><br \/>\n\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Adding-and-Subtracting-Fractions-Worksheets-scaled.webp\" alt=\"Adding and Subtracting Fractions Worksheets Worksheet Preview\" style=\"box-shadow: 1.5px 1.5px 5px grey;\"><br \/>\n\t\t\t\t\t\t\t<button class=\"buttonmltpctn\" style=\"width: 90%;color: black;font-size: 0.9em;\" data-uw-styling-context=\"true\">CLICK HERE TO DOWNLOAD<\/button><br \/>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/div>\n<div style=\"text-align:center;max-width:300px;margin:15px;\">\n\t\t\t\t\t\t<strong>Adding and Subtracting Fractions (Answer Key)<\/strong><br \/>\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Adding-and-Subtracting-Fractions-Worksheets-Answer-Keys.pdf\"><br \/>\n\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Adding-and-Subtracting-Fractions-Worksheets-Answer-Key-scaled.webp\" alt=\"Adding and Subtracting Fractions (Answer Key) Worksheet Preview\" style=\"box-shadow: 1.5px 1.5px 5px grey;\"><br \/>\n\t\t\t\t\t\t\t<button class=\"buttonmltpctn\" style=\"width: 90%;color: black;font-size: 0.9em;\" data-uw-styling-context=\"true\">CLICK HERE TO DOWNLOAD<\/button><br \/>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/div>\n<div style=\"text-align:center;max-width:300px;margin:15px;\">\n\t\t\t\t\t\t<strong>Multiplying and Dividing Fractions Worksheets<\/strong><br \/>\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Multiplying-and-Dividing-Fractions-Worksheets.pdf\"><br \/>\n\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Multiplying-and-Dividing-Fractions-Worksheets-scaled.webp\" alt=\"Multiplying and Dividing Fractions Worksheets Worksheet Preview\" style=\"box-shadow: 1.5px 1.5px 5px grey;\"><br \/>\n\t\t\t\t\t\t\t<button class=\"buttonmltpctn\" style=\"width: 90%;color: black;font-size: 0.9em;\" data-uw-styling-context=\"true\">CLICK HERE TO DOWNLOAD<\/button><br \/>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/div>\n<div style=\"text-align:center;max-width:300px;margin:15px;\">\n\t\t\t\t\t\t<strong>Multiplying and Dividing Fractions (Answer Key)<\/strong><br \/>\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Multiplying-and-Dividing-Fractions-Worksheets-Answer-Keys.pdf\"><br \/>\n\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Multiplying-and-Dividing-Fractions-Worksheets-Answer-Keys-scaled.webp\" alt=\"Multiplying and Dividing Fractions (Answer Key) Worksheet Preview\" style=\"box-shadow: 1.5px 1.5px 5px grey;\"><br \/>\n\t\t\t\t\t\t\t<button class=\"buttonmltpctn\" style=\"width: 90%;color: black;font-size: 0.9em;\" data-uw-styling-context=\"true\">CLICK HERE TO DOWNLOAD<\/button><br \/>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/div>\n<div style=\"text-align:center;max-width:300px;margin:15px;\">\n\t\t\t\t\t\t<strong>Multiplying Fractions Worksheets<\/strong><br \/>\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Multiplying-Fractions-Worksheet.pdf\"><br \/>\n\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Multiplying-Fractions-Worksheet-scaled.webp\" alt=\"Multiplying Fractions Worksheets Worksheet Preview\" style=\"box-shadow: 1.5px 1.5px 5px grey;\"><br \/>\n\t\t\t\t\t\t\t<button class=\"buttonmltpctn\" style=\"width: 90%;color: black;font-size: 0.9em;\" data-uw-styling-context=\"true\">CLICK HERE TO DOWNLOAD<\/button><br \/>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/div>\n<div style=\"text-align:center;max-width:300px;margin:15px;\">\n\t\t\t\t\t\t<strong>Multiplying Fractions (Answer Key)<\/strong><br \/>\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Multiplying-Fractions-Worksheet-Answer-Key.pdf\"><br \/>\n\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Multiplying-Fractions-Worksheet-Answer-Key-scaled.webp\" alt=\"Multiplying Fractions (Answer Key) Worksheet Preview\" style=\"box-shadow: 1.5px 1.5px 5px grey;\"><br \/>\n\t\t\t\t\t\t\t<button class=\"buttonmltpctn\" style=\"width: 90%;color: black;font-size: 0.9em;\" data-uw-styling-context=\"true\">CLICK HERE TO DOWNLOAD<\/button><br \/>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/div>\n<div style=\"text-align:center;max-width:300px;margin:15px;\">\n\t\t\t\t\t\t<strong>Dividing Fractions Worksheets<\/strong><br \/>\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Dividing-Fractions-Worksheet.pdf\"><br \/>\n\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Dividing-Fractions-Worksheet-scaled.webp\" alt=\"Dividing Fractions Worksheets Worksheet Preview\" style=\"box-shadow: 1.5px 1.5px 5px grey;\"><br \/>\n\t\t\t\t\t\t\t<button class=\"buttonmltpctn\" style=\"width: 90%;color: black;font-size: 0.9em;\" data-uw-styling-context=\"true\">CLICK HERE TO DOWNLOAD<\/button><br \/>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/div>\n<div style=\"text-align:center;max-width:300px;margin:15px;\">\n\t\t\t\t\t\t<strong>Dividing Fractions (Answer Key)<\/strong><br \/>\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Dividing-Fractions-Worksheet-Answer-Key.pdf\"><br \/>\n\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/12\/Dividing-Fractions-Worksheet-Answer-Key-scaled.webp\" alt=\"Dividing Fractions (Answer Key) Worksheet Preview\" style=\"box-shadow: 1.5px 1.5px 5px grey;\"><br \/>\n\t\t\t\t\t\t\t<button class=\"buttonmltpctn\" style=\"width: 90%;color: black;font-size: 0.9em;\" data-uw-styling-context=\"true\">CLICK HERE TO DOWNLOAD<\/button><br \/>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/basic-arithmetic\/\">Return to Basic Arithmetic Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Basic Arithmetic Videos<\/p>\n","protected":false},"author":1,"featured_media":99766,"parent":0,"menu_order":1,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-4472","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-fractions-videos","7":"page_category-fractions","8":"page_category-math-advertising-group","9":"page_category-video-pages-for-study-course-sidebar-ad","10":"page_type-video","11":"content_type-fact-sheet","12":"content_type-practice-questions","13":"content_type-worksheets","14":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4472","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=4472"}],"version-history":[{"count":6,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4472\/revisions"}],"predecessor-version":[{"id":283294,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4472\/revisions\/283294"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/99766"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=4472"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}