{"id":147997,"date":"2024-10-04T05:11:20","date_gmt":"2024-10-04T05:11:20","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=147997"},"modified":"2024-10-04T05:11:22","modified_gmt":"2024-10-04T05:11:22","slug":"how-would-you-simplify-the-fraction-4-28","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/04\/how-would-you-simplify-the-fraction-4-28\/","title":{"rendered":"How would you simplify the fraction 4\/28"},"content":{"rendered":"\n<p>How would you simplify the fraction 4\/28<\/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 simplify the fraction ( \\frac{4}{28} ), we need to find the greatest common divisor (GCD) of the numerator (4) and the denominator (28) and then divide both by that number.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Identify the GCD<\/h3>\n\n\n\n<p>The GCD of two numbers is the largest number that divides both of them without leaving a remainder.<\/p>\n\n\n\n<p><strong>Finding the GCD:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The factors of 4 are: 1, 2, 4.<\/li>\n\n\n\n<li>The factors of 28 are: 1, 2, 4, 7, 14, 28.<\/li>\n<\/ul>\n\n\n\n<p>The common factors of 4 and 28 are 1, 2, and 4. The largest of these is 4, so:<\/p>\n\n\n\n<p>[<br>\\text{GCD}(4, 28) = 4<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Divide the Numerator and Denominator by the GCD<\/h3>\n\n\n\n<p>Now that we have the GCD, we divide both the numerator and the denominator by 4:<\/p>\n\n\n\n<p>[<br>\\frac{4 \\div 4}{28 \\div 4} = \\frac{1}{7}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Conclusion<\/h3>\n\n\n\n<p>Thus, the simplified form of ( \\frac{4}{28} ) is ( \\frac{1}{7} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>Simplifying fractions is an important mathematical skill because it helps us express values in their simplest form, making them easier to work with in calculations. A simplified fraction can often reveal a clearer understanding of the relationship between numbers.<\/p>\n\n\n\n<p>For example, ( \\frac{4}{28} ) essentially represents the same quantity as ( \\frac{1}{7} ) but in a simpler manner. Fractions can often appear more complicated than they are, and simplifying them can help reduce potential errors in mathematical operations like addition, subtraction, multiplication, or division.<\/p>\n\n\n\n<p>In practical applications, understanding how to simplify fractions is essential in many fields, including cooking, finance, and engineering. For instance, if a recipe calls for ( \\frac{4}{28} ) of a cup of an ingredient, knowing it can be simplified to ( \\frac{1}{7} ) can make measuring ingredients more manageable.<\/p>\n\n\n\n<p>Therefore, simplifying fractions not only aids in clarity but also enhances the efficiency of mathematical operations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>How would you simplify the fraction 4\/28 The Correct Answer and Explanation is : To simplify the fraction ( \\frac{4}{28} ), we need to find the greatest common divisor (GCD) of the numerator (4) and the denominator (28) and then divide both by that number. Step 1: Identify the GCD The GCD of two numbers [&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-147997","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/147997","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=147997"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/147997\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=147997"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=147997"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=147997"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}