{"id":668,"date":"2022-01-18T16:57:06","date_gmt":"2022-01-18T16:57:06","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=668"},"modified":"2022-01-18T16:57:06","modified_gmt":"2022-01-18T16:57:06","slug":"simplifying-and-reducing-fractions","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/01\/18\/simplifying-and-reducing-fractions\/","title":{"rendered":"Simplifying and Reducing Fractions"},"content":{"rendered":"\n<p>One of the things you have to do at the end of most fraction problems is to simplify or reduce the fraction. When you reduce a fraction, you don&#8217;t change the actual value of the fraction, you just write it down in its simplest form.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">How do you know if a fraction is fully reduced?<\/h5>\n\n\n\n<p>Writing a fraction in its simplest form means that the top and bottom numbers can no longer be divided by the same whole number exactly or evenly (other than the number 1).<\/p>\n\n\n\n<p><strong> For example<\/strong>, the fraction 2\/3 is fully reduced. There isn&#8217;t any whole number, other than 1, that both 2 and 3 can be divided by without having a remainder. Other examples of fully reduced fractions include 7\/8, 5\/9, and 11\/20.<\/p>\n\n\n\n<p> An <strong>example <\/strong>of a fraction that isn&#8217;t fully reduced is 2\/4. This is because both 2 and 4 can be divided by 2 to equal the fraction \u00bd. You can see from the picture below that these fractions are the same, but \u00bd is the simpler of the two fractions and is fully reduced.<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ducksters.com\/kidsmath\/fractions_equivalent1.gif\" alt=\"\" width=\"846\" height=\"286\"\/><\/figure>\n\n\n\n<p>Other examples of fractions that can be further reduced include 3\/12, 16\/20, 8\/24.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">How to Reduce Fractions<\/h2>\n\n\n\n<p> One way to reduce fractions is to find the greatest common factor of the numerator and the denominator. Here are the steps to follow: <\/p>\n\n\n\n<ul><li>Write down the factors for the numerator and the denominator<\/li><li> Determine the largest factor that is common between the two <\/li><li>Divide the numerator and denominator by the greatest common factor<\/li><li> Write down the reduced fraction <\/li><\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Example:<\/h4>\n\n\n\n<p> <strong>Reduce the fraction<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ducksters.com\/kidsmath\/fractions_reducing1.gif\" alt=\"\" width=\"1220\" height=\"177\"\/><\/figure>\n\n\n\n<p><strong>Step 1:<\/strong><\/p>\n\n\n\n<p> Factors for 8 = 1, 2, 4, 8<\/p>\n\n\n\n<p> Factors for 24 = 1, 2, 3, 4, 6, 8, 12, 24 <\/p>\n\n\n\n<p><strong>Step 2:<\/strong><\/p>\n\n\n\n<p> The greatest common factor is 8<\/p>\n\n\n\n<p><strong> Step 3:<\/strong><\/p>\n\n\n\n<p> Divide both the numerator and denominator by 8 8 divided by 8 = 1 24 divided by 8 = 3 <\/p>\n\n\n\n<p><strong>Step 4:<\/strong><\/p>\n\n\n\n<p> The answer is<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ducksters.com\/kidsmath\/fractions_reducing2.gif\" alt=\"\" width=\"1217\" height=\"177\"\/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">More examples:<\/h4>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ducksters.com\/kidsmath\/fractions_reducing3.gif\" alt=\"\" width=\"1160\" height=\"591\"\/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Mixed Numbers <\/h2>\n\n\n\n<p>Another part of writing the correct answer of a fraction problem can be converting the fraction to a mixed number. This is a number that is part whole number and part fraction. If the numerator is larger than the denominator, then the fraction can be written as a mixed number.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"> Basic Example:<\/h4>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ducksters.com\/kidsmath\/fractions_mixed1.gif\" alt=\"\" width=\"1219\" height=\"177\"\/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>As you can see the fraction 3\/2 can be written as 1 \u00bd. These numbers are both the same value, but sometimes the answer will be need to be written as a mixed number to be considered fully reduced or simplified.<\/p>\n\n\n\n<p style=\"line-height:1.5\"><\/p>\n\n\n\n<p>Converting Improper Fractions to Mixed Numbers <\/p>\n\n\n\n<p>To convert an improper fraction to a mixed number, follow these steps: <\/p>\n\n\n\n<ul><li>Divide the numerator by the denominator <\/li><li>Write the result as the whole number <\/li><li>Write any remainder as the numerator of the fraction<\/li><li>The denominator stays the same <\/li><\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Example:<\/h4>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ducksters.com\/kidsmath\/fractions_mixed2.gif\" alt=\"\" width=\"1221\" height=\"178\"\/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>Divide the numerator 17 by the denominator 3.<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ducksters.com\/kidsmath\/fractions_mixed3.gif\" alt=\"\" width=\"1221\" height=\"289\"\/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>You get 5 with the remainder 2. Write out the answer with the 5 as the whole number and the remainder 2 over the original denominator 3.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ducksters.com\/kidsmath\/fractions_mixed4.gif\" alt=\"\" width=\"1217\" height=\"177\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>One of the things you have to do at the end of most fraction problems is to simplify or reduce the fraction. When you reduce a fraction, you don&#8217;t change the actual value of the fraction, you just write it down in its simplest form. How do you know if a fraction is fully reduced? [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[688],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/668"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=668"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/668\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=668"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=668"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=668"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}