{"id":38231,"date":"2018-03-07T19:31:39","date_gmt":"2018-03-07T19:31:39","guid":{"rendered":"https:\/\/www.mometrix.com\/academy\/?page_id=38231"},"modified":"2026-03-28T11:10:40","modified_gmt":"2026-03-28T16:10:40","slug":"cross-multiplying-fractions","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/cross-multiplying-fractions\/","title":{"rendered":"Cross Multiplying Fractions"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_K2m2V98DDAg\" 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_K2m2V98DDAg\" data-source-videoID=\"K2m2V98DDAg\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Cross Multiplying Fractions Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Cross Multiplying Fractions\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_K2m2V98DDAg:hover {cursor:pointer;} img#videoThumbnailImage_K2m2V98DDAg {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/116-cross-multiplying-fractions-1.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_K2m2V98DDAg\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_K2m2V98DDAg\" 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\",\"Cross Multiplying Fractions\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_K2m2V98DDAg\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_K2m2V98DDAg\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_K2m2V98DDAg\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction VCD_Function() {\n  var x = document.getElementById(\"VCD\");\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=\"VCD_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=\"VCD\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#How_to_Cross_Multiply\" class=\"smooth-scroll\">How to Cross Multiply<\/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=\"#Cross_Multiplying_Fractions_Practice_Questions\" class=\"smooth-scroll\">Cross Multiplying Fractions Practice Questions<\/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=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hey guys! Welcome to this video on how to cross multiply <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/fractions\/\">fractions<\/a>.<\/p>\n<p>When cross multiplying fractions, the name sort of hints at how this is actually done.<\/p>\n<p>You literally multiply <em>across<\/em>. Let\u2019s say you have two fractions that are set equal to each other. So let&#8217;s say, \\(\\frac{a}{b}=\\frac{c}{d}\\).<\/p>\n<p>Well, to cross multiply them, you multiply the numerator in the first fraction times the denominator in the second fraction, then you write that number down. Then you multiply the numerator of the second fraction times the number in the denominator of your first fraction, and you write that number down.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/cross-multiplication-again.png\" alt=\"\" width=\"155\" height=\"223\"\/><\/p>\n<p>The reason we cross multiply fractions is to compare them. Cross multiplying fractions tells us if two fractions are equal or which one is greater. This is especially useful when you are working with larger fractions that you aren\u2019t sure how to reduce.<\/p>\n<h2><span id=\"How_to_Cross_Multiply\" class=\"m-toc-anchor\"><\/span>How to Cross Multiply<\/h2>\n<h3>Cross Multiply Fractions &#8211; Example 1<\/h2>\n<p>\nFind which of the two fractions is greatest.<\/p>\n<p><span style=\"font-size: 120%;\">\\(\\frac{4}{26}=\\frac{7}{32}\\)<\/span><br \/>\n&nbsp;<br \/>\nSo, when we cross multiply it, when we set it equal, and then cross multiply these two fractions together, we get 128. So <span style=\"font-style:normal; font-size:90%\">\\(4\\times 32=128\\)<\/span>. And when we cross multiply these two, we get <span style=\"font-style:normal; font-size:90%\">\\(7\\times 26=182\\)<\/span>. So, we know that \\(\\frac{7}{32}\\) is greater than \\(\\frac{4}{26}\\) because 182 is greater than 128.<\/p>\n<p>We must always remember that the number that we multiplied with our numerator represents that corresponding fraction. So this number (128) is representing this fraction \\((\\frac{4}{26})\\), and this number (182) is representing this fraction \\((\\frac{7}{32})\\). I mention this, because it may be a little confusing to see numbers taken from two different fractions being multiplied together, but the product only representing one of the fractions and not the other. 128 goes on the left side to represent \\(\\frac{4}{26}\\) and <span style=\"font-style:normal; font-size:90%\">\\(7\\times 26=182\\)<\/span> goes on the right side to represent this fraction right here \\((\\frac{7}{32})\\).<\/p>\n<p>Cross multiplying fractions helps us to see if numbers are equal, and if not, which is bigger and which is smaller. But that is not its only use. Cross multiplying fractions can help us to solve for unknown variables in fractions.<\/p>\n<h3>Cross Multiply Fractions &#8211; Example 2<\/h2>\n<p>\nLet\u2019s say we have two fractions \\(\\frac{9}{16}=\\frac{x}{27}\\). We can cross multiply anytime we have a fraction that is set equal to another fraction. Now, to cross multiply we do the exact same thing that we did in our last example. We take the numerator of one side and multiply it times the denominator of the other side, and do this same the from the numerator of the other side. In this case, we multiply <span style=\"font-style:normal; font-size:90%\">\\(9\\times 27\\)<\/span> and <span style=\"font-style:normal; font-size:90%\">\\(16\\times x\\)<\/span>. This would give us <span style=\"font-style:normal; font-size:90%\">\\(243=16x\\)<\/span>. Now, all we have to do to get x by itself is divide both sides by 16. This cancels out, and this gives us \\(x=\\frac{243}{16}\\), and you can simplify this even further. Now, we would do this exact same thing even if \\(x\\) is in our denominator, it doesn&#8217;t matter.<\/p>\n<p>I hope that this video over cross multiplying fractions has been helpful to you.<\/p>\n<p>See you guys next time!<\/p>\n<div style=\"text-align: center;\"><a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/adding-and-subtracting-fractions\/\">Adding and Subtracting Fractions<\/a> | <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/multiplying-and-dividing-fractions\/\">Multiplying and Dividing Fractions<\/a><\/div>\n<p>\n&nbsp;<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"FAQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Frequently_Asked_Questions\" class=\"m-toc-anchor\"><\/span>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;\">How do you cross multiply fractions?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Cross multiply fractions by multiplying the denominator of one fraction with the numerator of the other fraction and then comparing the two values. The fraction with the larger value is the larger fraction.<\/p>\n<p>Be careful to always go from denominator to numerator! If you go numerator to denominator, you will get the wrong fraction as the one that is greater.<\/p>\n<div class=\"lightbulb-example-2\" style=\"min-width: 70%\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Which fraction is greater: \\(\\frac{4}{5}\\) or \\(\\frac{3}{8}\\)?<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\"><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/09\/cross-multiplying-q1-02.svg\" alt=\"\" width=\"292.8\" height=\"72\" class=\"aligncenter size-full wp-image-198839\"  role=\"img\" \/><\/p>\n<p style=\"margin-bottom: 0em\">Therefore, <span style=\"font-size: 120%;\">\\(\\frac{4}{5}\\)<\/span> is greater than <span style=\"font-size: 120%;\">\\(\\frac{3}{8}\\)<\/span>.<\/p>\n<\/div>\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;\">When do you cross multiply fractions?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Cross multiply fractions when you want to determine if one fraction is greater than another, or if you are looking for a missing numerator or denominator in equivalent 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 cross multiply fractions with different denominators?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Almost all fractions being cross multiplied will have different denominators. This does not affect the process at all. Cross multiply as normal.<\/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;\">Why does cross multiplying fractions work?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Cross multiplying fractions to determine if one is greater than the other works because it is a shortcut for converting the fractions to a common denominator and comparing fractions.<\/p>\n<div class=\"lightbulb-example-2\" style=\"min-width: 70%\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Which is greater: \\(\\frac{7}{9}\\) or \\(\\frac{8}{12}\\)?<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\">Let&#8217;s solve this using cross multiplication.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/09\/cross-multiplying-faq-02.svg\" alt=\"\" width=\"292.8\" height=\"72\" class=\"aligncenter size-full wp-image-198869\"  role=\"img\" \/><\/p>\n<p>This tells us that <span style=\"font-size: 120%;\">\\(\\frac{7}{9}\\)<\/span>><span style=\"font-size: 120%;\">\\(\\frac{8}{12}\\)<\/span>.<\/p>\n<p>Now, let&#8217;s solve this by converting and comparing.<\/p>\n<p style=\"text-align: center; line-height: 62px\">\\(\\dfrac{7}{9} \\times \\dfrac{12}{12}=\\dfrac{84}{108}\\)<br \/>\\(\\dfrac{8}{12} \\times \\dfrac{9}{9}=\\dfrac{72}{108}\\)<\/p>\n<p style=\"margin-bottom: 0em\">This tells us that <span style=\"font-size: 120%;\">\\(\\frac{7}{9}\\)<\/span>><span style=\"font-size: 120%;\">\\(\\frac{8}{12}\\)<\/span>.<\/p>\n<\/div>\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;\">Can you cross multiply when adding fractions?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>No, you cannot cross multiply when adding fractions. Cross multiply only when you need to determine if one fraction is greater than another, or if you are trying to find a missing numerator or denominator in equivalent 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 cross multiply fractions with variables?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Cross multiply fractions with variables by multiplying the numerator of one fraction by the denominator of the other. Then set the two products equal and solve for the variable.<\/p>\n<div class=\"lightbulb-example-2\" style=\"min-width: 70%\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: \\(\\dfrac{4}{5}=\\dfrac{x}{20}\\)<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\">\n<p style=\"text-align: center; line-height: 45px; margin-bottom: -0.5em\">\\(4 \\times 20=5x\\)<br \/>\\(80=5x\\)<br \/>\\(16=x\\)<\/p>\n<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Cross_Multiplying_Fractions_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Cross Multiplying Fractions Practice Questions<\/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 fraction is larger: \\(\\dfrac{17}{29}\\) or \\(\\dfrac{12}{15}\\)?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">\\(\\dfrac{17}{29}\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-2\">\\(\\dfrac{12}{15}\\)<\/div><div class=\"PQ\"  id=\"PQ-1-3\">The two fractions are equal<\/div><div class=\"PQ\"  id=\"PQ-1-4\">Cannot be determined from given information<\/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 fraction <span style=\"font-size: 120%;\">\\(\\frac{12}{15}\\)<\/span> is larger than <span style=\"font-size: 120%;\">\\(\\frac{17}{29}\\)<\/span>. Cross multiplication can be used to answer this question. <\/p>\n<p>First, multiply 17 by 15. <\/p>\n<p style=\"text-align:center;\">\\(17\\times 15=255\\)<\/p>\n<p>Write 255 above <span style=\"font-size: 120%;\">\\(\\frac{17}{29}\\)<\/span>, like this:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Cross-multiplying-fractions-example-1.svg\" alt=\"Mathematical expression showing 255, with fractions 17 over 29 and 12 over 15 below it.\" width=\"101.2\" height=\"59.4\" class=\"aligncenter size-full wp-image-278047\"  role=\"img\" \/><\/p>\n<p>Next, multiply 29 by 12.<\/p>\n<p style=\"text-align:center;\">\\(29\\times12=348\\)<\/p>\n<p>Write 348 above <span style=\"font-size: 120%;\">\\(\\frac{12}{15}\\)<\/span>, like this:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/Cross-multiplying-fractions-example-2.svg\" alt=\"Two fractions are shown: 17 over 29 and 12 over 15, with the numbers 255 and 346 above them, respectively.\" width=\"134.2\" height=\"59.4\" class=\"aligncenter size-full wp-image-278044\"  role=\"img\" \/><\/p>\n<p>348 is larger than 255, so <span style=\"font-size: 120%;\">\\(\\frac{12}{15}\\)<\/span> is larger than <span style=\"font-size: 120%;\">\\(\\frac{17}{29}\\)<\/span>.<\/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 expressions is correct?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">\\(\\dfrac{12}{13} \\lt \\dfrac{5}{6}\\)<\/div><div class=\"PQ\"  id=\"PQ-2-2\">\\(\\dfrac{1}{7} \\lt \\dfrac{2}{15}\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-3\">\\(\\dfrac{3}{8} \\lt \\dfrac{4}{7}\\)<\/div><div class=\"PQ\"  id=\"PQ-2-4\">\\(\\dfrac{3}{5} \\lt \\dfrac{6}{17}\\)<\/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>Cross multiplying each fraction pair results in this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/09\/cross-multiplying-q2-part-2-04.svg\" alt=\"\" width=\"208\" height=\"54\" class=\"aligncenter size-full wp-image-198860\"  role=\"img\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/09\/cross-multiplying-q2-part-3-04.svg\" alt=\"\" width=\"208\" height=\"54\" class=\"aligncenter size-full wp-image-198863\"  role=\"img\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/09\/cross-multiplying-q2-part-1-04.svg\" alt=\"\" width=\"208\" height=\"54\" class=\"aligncenter size-full wp-image-198866\"  role=\"img\" \/><\/p>\n<p>Therefore, \\(\\frac{3}{8} \\lt \\frac{4}{7}\\) is the only correct expression.<\/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 \/>\nSolve for the missing variable:<\/p>\n<div class=\"yellow-math-quote\">\\(\\dfrac{18}{21}=\\dfrac{x}{63}\\)<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">\\(x=6\\)<\/div><div class=\"PQ\"  id=\"PQ-3-2\">\\(x=27\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-3\">\\(x=54\\)<\/div><div class=\"PQ\"  id=\"PQ-3-4\">\\(x=85\\)<\/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 solve this problem, start by cross multiplying.<\/p>\n<p style=\"text-align:center; line-height: 45px\">\\(18\\times 63=21x\\)<br \/>\n\\(1{,}134=21x\\)<\/p>\n<p>Then, divide by 21 on both sides.<\/p>\n<p style=\"text-align:center;\">\\(54=x\\)<\/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 \/>\nSolve for the missing variable:<\/p>\n<div class=\"yellow-math-quote\">\\(\\dfrac{7}{y}=\\dfrac{42}{72}\\)<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">\\(y=9\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-2\">\\(y=12\\)<\/div><div class=\"PQ\"  id=\"PQ-4-3\">\\(y=229\\)<\/div><div class=\"PQ\"  id=\"PQ-4-4\">\\(y=432\\)<\/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>To solve this problem, start by cross multiplying.<\/p>\n<p style=\"text-align:center; line-height: 45px\">\\(7\\times 72=42y\\)<br \/>\n\\(504=42y\\)<\/p>\n<p>Then, divide by 42 on both sides.<\/p>\n<p style=\"text-align:center;\">\\(12=y\\)<\/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 \/>\nA man has a garden that is 6 feet wide and 9 feet long. He is planning on increasing the width to 9 feet. If he wants to increase the length proportionally, what would be the new length?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">6 feet<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-2\">13.5 feet<\/div><div class=\"PQ\"  id=\"PQ-5-3\">18 feet<\/div><div class=\"PQ\"  id=\"PQ-5-4\">81.5 feet<\/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>To solve this problem, first set up proportional fractions.<\/p>\n<p style=\"text-align:center;\">\\(\\dfrac{\\text{length}}{\\text{width}}=\\dfrac{6}{9}=\\dfrac{9}{l}\\)<\/p>\n<p>Then, cross multiply to solve for \\(l\\).<\/p>\n<p style=\"text-align:center; line-height: 45px\">\n\\(9\\times 9=6l\\)<br \/>\n\\(81=6l\\)<br \/>\n\\(13.5=l\\)<\/p>\n<p>The new garden will be 13.5 feet long.<\/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>\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":91138,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-38231","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-fractions","7":"page_category-math-advertising-group","8":"page_category-video-pages-for-study-course-sidebar-ad","9":"page_type-video","10":"content_type-practice-questions","11":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/38231","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=38231"}],"version-history":[{"count":5,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/38231\/revisions"}],"predecessor-version":[{"id":280838,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/38231\/revisions\/280838"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/91138"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=38231"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}