{"id":1177,"date":"2013-06-06T07:27:50","date_gmt":"2013-06-06T07:27:50","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=1177"},"modified":"2025-11-28T11:41:26","modified_gmt":"2025-11-28T17:41:26","slug":"converting-mixed-numbers-to-decimals-and-improper-fractions","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/converting-mixed-numbers-to-decimals-and-improper-fractions\/","title":{"rendered":"Converting Mixed Numbers to Decimals and Improper Fractions"},"content":{"rendered":"<h1>Converting Mixed Numbers to Decimals and Improper Fractions<\/h1>\n<div class=\"lyte-wrapper fourthree\" title=\"Converting Mixed Numbers to Decimals and Improper Fractions\" style=\"width:420px;max-width:100%;margin:5px auto;\"><div class=\"lyMe\" id=\"WYL_IxBUGg5WIsc\"><div id=\"lyte_IxBUGg5WIsc\" data-src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/plugins\/wp-youtube-lyte\/lyteCache.php?origThumbUrl=https%3A%2F%2Fi.ytimg.com%2Fvi%2FIxBUGg5WIsc%2Fhqdefault.jpg\" class=\"pL\"><div class=\"tC\"><div class=\"tT\">Converting Mixed Numbers to Decimals and Improper Fractions<\/div><\/div><div class=\"play\"><\/div><div class=\"ctrl\"><div class=\"Lctrl\"><\/div><div class=\"Rctrl\"><\/div><\/div><\/div><noscript><a href=\"https:\/\/youtu.be\/IxBUGg5WIsc\" rel=\"nofollow\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/plugins\/wp-youtube-lyte\/lyteCache.php?origThumbUrl=https%3A%2F%2Fi.ytimg.com%2Fvi%2FIxBUGg5WIsc%2F0.jpg\" alt=\"Converting Mixed Numbers to Decimals and Improper Fractions\" width=\"420\" height=\"295\" \/><br \/>Watch this video on YouTube<\/a><\/noscript><\/div><\/div><div class=\"lL\" style=\"max-width:100%;width:420px;margin:5px auto;\"><\/div><br \/>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p><b>The methods for converting a mixed number to a fraction and a decimal are very different from one another.<\/b> I&#8217;m going to demonstrate how to convert to a fraction on all three of these examples first. Here we have 4 and 2\/5. Now, to convert this to a fraction.<\/p>\n<p>We have to take the denominator and multiply by a whole 5 times 4, and then add the numerator, 2. We have 5 times 4 is 20, plus 2 is 22. Now, we take that and that&#8217;s a new numerator, and we retain the same denominator, 5. <b>This is the fractional form of that mix number.<\/b><\/p>\n<p>Moving on to this one, we have 2 we&#8217;ll multiply it by 7 to get 14, and then we&#8217;ll add 1 to get 15. We retain the same denominator once again, 15\/2. Finally, this one we have 4 times 3 is 12, and we&#8217;ll add this 3 to get 15. We have 15, and once again retaining the same denominator before, we have 15\/4.<\/p>\n<p>The method for converting to a decimal is to take the whole part of the number, in this case 4, add a decimal point, and then take the fractional part 2\/5, and modify this fraction so that it retains its value but has a denominator of 100. To do this, we have to multiply the top and bottom by 20, 20\/20.<\/p>\n<p>2 times 20 is 40, 5 times 20 is 100. Once we have a denominator of 100, we can take the numerator and put it to the right of the decimal, 40. This number is 4.40. In this case we have 7, put a decimal point past it, and we have 1\/2. To convert 1\/2 to denominator of 100 we multiply by 50\/50 and we get 50\/100.<\/p>\n<p>We can take this 50 and put it to the right of the decimal, we have 7.50. The third example we have a 3 and we have 3\/4. To get 3\/4 to have the denominator of 100 we multiply by 25 \/25 and we get 75\/100. Then we can put 75 to the right of the decimal, 3.75.<\/p>\n<\/div>\n<\/div>\n<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Converting Mixed Numbers to Decimals and Improper Fractions<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-1177","1":"page","2":"type-page","3":"status-publish","5":"page_type-video"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1177","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=1177"}],"version-history":[{"count":1,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1177\/revisions"}],"predecessor-version":[{"id":49189,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1177\/revisions\/49189"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=1177"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}