{"id":203649,"date":"2025-03-20T12:10:42","date_gmt":"2025-03-20T12:10:42","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=203649"},"modified":"2025-03-20T12:10:44","modified_gmt":"2025-03-20T12:10:44","slug":"write-75-as-a-simple-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/20\/write-75-as-a-simple-fraction\/","title":{"rendered":"Write 75% as a simple fraction"},"content":{"rendered":"\n<p>Write 75% as a simple fraction.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Correct Answer:<\/h3>\n\n\n\n<p>75% as a simple fraction is <strong>\u00be<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300 words):<\/h3>\n\n\n\n<p>To convert 75% into a simple fraction, follow these steps:<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 1: Understand the Meaning of Percent<\/strong><\/h4>\n\n\n\n<p>The term <strong>percent<\/strong> means &#8220;per hundred.&#8221; So, 75% can be written as:<\/p>\n\n\n\n<p>[<br>75\\% = \\frac{75}{100}<br>]<\/p>\n\n\n\n<p>This fraction represents 75 parts out of 100.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 2: Simplify the Fraction<\/strong><\/h4>\n\n\n\n<p>To simplify (\\frac{75}{100}), we find the <strong>greatest common divisor (GCD)<\/strong> of 75 and 100. The GCD is the largest number that divides both 75 and 100 without leaving a remainder.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Prime Factorization:<\/strong><\/li>\n\n\n\n<li>75 = <strong>3 \u00d7 5 \u00d7 5<\/strong><\/li>\n\n\n\n<li>100 = <strong>2 \u00d7 2 \u00d7 5 \u00d7 5<\/strong><\/li>\n<\/ul>\n\n\n\n<p>The common factor is <strong>5 \u00d7 5 = 25<\/strong>.<\/p>\n\n\n\n<p>Now, divide both the numerator and denominator by 25:<\/p>\n\n\n\n<p>[<br>\\frac{75 \\div 25}{100 \\div 25} = \\frac{3}{4}<br>]<\/p>\n\n\n\n<p>Thus, <strong>75% is equivalent to \u00be in its simplest form<\/strong>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 3: Verify the Conversion<\/strong><\/h4>\n\n\n\n<p>To check, convert <strong>\u00be<\/strong> back into a percentage:<\/p>\n\n\n\n<p>[<br>\\frac{3}{4} \\times 100 = 75\\%<br>]<\/p>\n\n\n\n<p>This confirms our answer.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 4: Real-Life Applications<\/strong><\/h4>\n\n\n\n<p>Fractions like \u00be appear in many real-world scenarios, such as:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If you eat <strong>\u00be of a pizza<\/strong>, you have eaten <strong>75% of it<\/strong>.<\/li>\n\n\n\n<li>If a store offers a <strong>75% discount<\/strong>, you only pay <strong>\u00bc of the original price<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Understanding fraction and percentage conversions is useful in mathematics, finance, cooking, and everyday decision-making.<\/p>\n\n\n\n<p>Thus, 75% is <strong>\u00be<\/strong>, a simplified and commonly used fraction.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write 75% as a simple fraction. The correct answer and explanation is : Correct Answer: 75% as a simple fraction is \u00be. Explanation (300 words): To convert 75% into a simple fraction, follow these steps: Step 1: Understand the Meaning of Percent The term percent means &#8220;per hundred.&#8221; So, 75% can be written as: [75\\% [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-203649","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203649","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=203649"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203649\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=203649"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=203649"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=203649"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}