{"id":143871,"date":"2024-09-24T06:42:59","date_gmt":"2024-09-24T06:42:59","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=143871"},"modified":"2024-09-24T06:43:01","modified_gmt":"2024-09-24T06:43:01","slug":"simplify-12-16-in-lowest-terms","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/24\/simplify-12-16-in-lowest-terms\/","title":{"rendered":"Simplify 12\/16 in lowest terms"},"content":{"rendered":"\n<p>Simplify 12\/16 in lowest terms<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To simplify the fraction ( \\frac{12}{16} ) to its lowest terms, we follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Identify the Greatest Common Divisor (GCD)<\/h3>\n\n\n\n<p>To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator (12) and the denominator (16). The GCD is the largest positive integer that divides both numbers without leaving a remainder.<\/p>\n\n\n\n<p><strong>Finding the GCD:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>List the factors of each number:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Factors of 12:<\/strong> 1, 2, 3, 4, 6, 12<\/li>\n\n\n\n<li><strong>Factors of 16:<\/strong> 1, 2, 4, 8, 16<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the common factors:<\/strong> The common factors are 1, 2, and 4.<\/li>\n\n\n\n<li><strong>Choose the greatest common factor:<\/strong> The greatest common factor is 4.<\/li>\n<\/ol>\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>Next, we divide both the numerator and the denominator by the GCD to simplify the fraction.<\/p>\n\n\n\n<p>[<br>\\frac{12 \\div 4}{16 \\div 4} = \\frac{3}{4}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Confirm the Simplified Fraction<\/h3>\n\n\n\n<p>The simplified fraction is ( \\frac{3}{4} ). We can confirm that this is in the lowest terms by checking if 3 and 4 have any common factors:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Factors of 3:<\/strong> 1, 3<\/li>\n\n\n\n<li><strong>Factors of 4:<\/strong> 1, 2, 4<\/li>\n<\/ul>\n\n\n\n<p>The only common factor is 1, which indicates that ( \\frac{3}{4} ) cannot be simplified any further.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>Thus, the fraction ( \\frac{12}{16} ) simplifies to ( \\frac{3}{4} ) in lowest terms. This process of simplifying fractions is essential in mathematics, particularly in arithmetic, algebra, and many real-world applications where working with simpler numbers is often more manageable. Simplifying helps in making calculations easier and clearer, allowing for better comprehension and accuracy in mathematical operations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Simplify 12\/16 in lowest terms The Correct answer and Explanation is: To simplify the fraction ( \\frac{12}{16} ) to its lowest terms, we follow these steps: Step 1: Identify the Greatest Common Divisor (GCD) To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator (12) and the denominator (16). [&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-143871","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/143871","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=143871"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/143871\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=143871"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=143871"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=143871"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}