{"id":147869,"date":"2024-10-03T13:25:14","date_gmt":"2024-10-03T13:25:14","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=147869"},"modified":"2024-10-03T13:25:16","modified_gmt":"2024-10-03T13:25:16","slug":"is-25-36-in-simplest-form-if-not-what-is-it-in-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/03\/is-25-36-in-simplest-form-if-not-what-is-it-in-simplest-form\/","title":{"rendered":"Is 25\/36 in simplest form if not what is it in simplest form"},"content":{"rendered":"\n<p>Is 25\/36 in simplest form if not what is it in simplest form<\/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<p>To determine if the fraction ( \\frac{25}{36} ) is in its simplest form, we need to check if the numerator (25) and the denominator (36) have any common factors other than 1. A fraction is in simplest form when the numerator and the denominator are coprime, meaning their greatest common divisor (GCD) is 1.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Find the Prime Factorization<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Numerator (25)<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The prime factorization of 25 is ( 5 \\times 5 ) or ( 5^2 ).<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Denominator (36)<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The prime factorization of 36 is ( 2 \\times 2 \\times 3 \\times 3 ) or ( 2^2 \\times 3^2 ).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Identify Common Factors<\/h3>\n\n\n\n<p>Next, we can compare the prime factors of both the numerator and denominator:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Factors of 25<\/strong>: ( 5 )<\/li>\n\n\n\n<li><strong>Factors of 36<\/strong>: ( 2 ) and ( 3 )<\/li>\n<\/ul>\n\n\n\n<p>Since the factors of 25 (which is ( 5^2 )) do not overlap with the factors of 36 (which are ( 2^2 \\times 3^2 )), the only common factor is 1.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Conclusion<\/h3>\n\n\n\n<p>Since the GCD of 25 and 36 is 1, we can conclude that ( \\frac{25}{36} ) is already in its simplest form. There are no common factors that can simplify the fraction further.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<p>Thus, the fraction ( \\frac{25}{36} ) is indeed in simplest form and cannot be reduced any further. This means that it can be used as is in calculations and representations without any further simplification needed.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary<\/h3>\n\n\n\n<p>In summary, to determine if a fraction is in simplest form, check for common factors between the numerator and denominator. In the case of ( \\frac{25}{36} ), the lack of common prime factors confirms that it is simplified to its lowest terms.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Is 25\/36 in simplest form if not what is it in simplest form The Correct Answer and Explanation is : To determine if the fraction ( \\frac{25}{36} ) is in its simplest form, we need to check if the numerator (25) and the denominator (36) have any common factors other than 1. A fraction is [&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-147869","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/147869","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=147869"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/147869\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=147869"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=147869"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=147869"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}