{"id":24950,"date":"2025-06-18T19:33:30","date_gmt":"2025-06-18T19:33:30","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=24950"},"modified":"2025-06-18T19:33:32","modified_gmt":"2025-06-18T19:33:32","slug":"convert-13-5-into-a-simplified-fraction","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/convert-13-5-into-a-simplified-fraction\/","title":{"rendered":"convert 13.5% into a simplified fraction"},"content":{"rendered":"\n<p>convert 13.5% into a simplified fraction.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Correct Answer:<\/h3>\n\n\n\n<p><strong>13.5% = 27\/200<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83e\udde0 Explanation (300 words):<\/h3>\n\n\n\n<p>To convert <strong>13.5%<\/strong> into a simplified fraction, follow these clear steps:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 1: Understand What Percent Means<\/strong><\/h3>\n\n\n\n<p>The word <strong>&#8220;percent&#8221;<\/strong> literally means &#8220;per hundred.&#8221;<br>So, <strong>13.5% = 13.5 per 100<\/strong>, or: 13.5%=13.510013.5\\% = \\frac{13.5}{100}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 2: Remove the Decimal<\/strong><\/h3>\n\n\n\n<p>To eliminate the decimal in <strong>13.5<\/strong>, multiply both the numerator and the denominator by <strong>10<\/strong>: 13.5\u00d710100\u00d710=1351000\\frac{13.5 \\times 10}{100 \\times 10} = \\frac{135}{1000}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 3: Simplify the Fraction<\/strong><\/h3>\n\n\n\n<p>Now simplify <strong>135\/1000<\/strong> by dividing both the numerator and denominator by their <strong>Greatest Common Divisor (GCD)<\/strong>.<\/p>\n\n\n\n<p>The GCD of 135 and 1000 is <strong>5<\/strong>. 135\u00f751000\u00f75=27200\\frac{135 \\div 5}{1000 \\div 5} = \\frac{27}{200}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Final Answer:<\/h3>\n\n\n\n<p>13.5%=2720013.5\\% = \\frac{27}{200}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udd0d Why It\u2019s Useful to Convert Percents to Fractions<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Fractions are exact values<\/strong> in math, especially useful in algebra, measurements, and probability.<\/li>\n\n\n\n<li>When doing calculations by hand, fractions can sometimes be easier to manipulate than decimals or percents.<\/li>\n\n\n\n<li>Understanding this process builds number sense, helping with topics like ratios, proportions, and percentages in real-life situations (e.g., discounts, statistics, cooking).<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udd01 Quick Summary<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Percent to fraction:<\/strong> write over 100<\/li>\n\n\n\n<li><strong>13.5% = 13.5\/100<\/strong><\/li>\n\n\n\n<li>Multiply top and bottom by 10 \u2192 <strong>135\/1000<\/strong><\/li>\n\n\n\n<li>Simplify by dividing by 5 \u2192 <strong>27\/200<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Now you can confidently say: 13.5%=2720013.5\\% = \\frac{27}{200}<\/p>\n\n\n\n<p><br><\/p>\n","protected":false},"excerpt":{"rendered":"<p>convert 13.5% into a simplified fraction. The correct answer and explanation is: \u2705 Correct Answer: 13.5% = 27\/200 \ud83e\udde0 Explanation (300 words): To convert 13.5% into a simplified fraction, follow these clear steps: Step 1: Understand What Percent Means The word &#8220;percent&#8221; literally means &#8220;per hundred.&#8221;So, 13.5% = 13.5 per 100, or: 13.5%=13.510013.5\\% = \\frac{13.5}{100} [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-24950","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24950","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=24950"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24950\/revisions"}],"predecessor-version":[{"id":24951,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24950\/revisions\/24951"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=24950"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=24950"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=24950"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}