{"id":226684,"date":"2025-06-05T12:52:14","date_gmt":"2025-06-05T12:52:14","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=226684"},"modified":"2025-06-05T12:52:16","modified_gmt":"2025-06-05T12:52:16","slug":"write-7-25-as-a-fraction-in-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/05\/write-7-25-as-a-fraction-in-simplest-form\/","title":{"rendered":"Write 7.25% as a fraction in simplest form"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Write 7.25% as a fraction in simplest form<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Correct Answer:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>7.25% = 29\/400<\/strong> (in simplest form)<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">To convert <strong>7.25%<\/strong> into a fraction in <strong>simplest form<\/strong>, we follow a series of clear steps involving understanding percentages, decimals, and simplification of fractions.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: Understand the meaning of percent<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">The word <strong>percent<\/strong> means <strong>&#8220;per hundred&#8221;<\/strong>. So, 7.25% literally means <strong>7.25 out of 100<\/strong>, or: 7.25%=7.251007.25\\% = \\frac{7.25}{100}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Step 2: Eliminate the decimal<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">We now have a decimal in the numerator: 7.25. To eliminate the decimal, we multiply both the <strong>numerator and denominator<\/strong> by 100, since there are two decimal places in 7.25: 7.25100=7.25\u00d7100100\u00d7100=72510,000\\frac{7.25}{100} = \\frac{7.25 \\times 100}{100 \\times 100} = \\frac{725}{10,000}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Step 3: Simplify the fraction<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Now we simplify the fraction <strong>725\/10,000<\/strong>. To do this, find the <strong>greatest common divisor (GCD)<\/strong> of 725 and 10,000.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We can start by dividing both numbers by 25:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>725 \u00f7 25 = 29<\/li>\n\n\n\n<li>10,000 \u00f7 25 = 400<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">So: 72510,000=29400\\frac{725}{10,000} = \\frac{29}{400}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Step 4: Confirm simplest form<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">29 is a <strong>prime number<\/strong>, and 400 is not divisible by 29. That means <strong>29\/400<\/strong> is already in <strong>simplest form<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">7.25%=294007.25\\% = \\boxed{\\frac{29}{400}}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This fraction represents the same value as 7.25% and cannot be reduced any further. This conversion process is essential for understanding percentages in practical applications such as finance, statistics, and everyday calculations.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner4-469.jpeg\" alt=\"\" class=\"wp-image-226685\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Write 7.25% as a fraction in simplest form The Correct Answer and Explanation is: Correct Answer: 7.25% = 29\/400 (in simplest form) Explanation To convert 7.25% into a fraction in simplest form, we follow a series of clear steps involving understanding percentages, decimals, and simplification of fractions. Step 1: Understand the meaning of percent The [&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-226684","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226684","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=226684"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226684\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=226684"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=226684"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=226684"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}