{"id":232600,"date":"2025-06-12T04:09:54","date_gmt":"2025-06-12T04:09:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=232600"},"modified":"2025-06-12T04:09:57","modified_gmt":"2025-06-12T04:09:57","slug":"multiply-write-your-answer-as-a-fraction-in-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/12\/multiply-write-your-answer-as-a-fraction-in-simplest-form\/","title":{"rendered":"Multiply. Write your answer as a fraction in simplest form"},"content":{"rendered":"\n<p>Multiply. Write your answer as a fraction in simplest form<\/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\/image-397.png\" alt=\"\" class=\"wp-image-232601\"\/><\/figure>\n\n\n\n<p><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<p>The correct answer is&nbsp;<strong>9\/10<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p><strong>Objective:<\/strong><br>To multiply the fractions 3\/4 and 6\/5 and write the final answer in its simplest form.<\/p>\n\n\n\n<p><strong>Understanding the Method<\/strong><\/p>\n\n\n\n<p>Multiplying fractions is a straightforward process. There are two main steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Multiply the numerators (the top numbers) of the fractions to get the new numerator.<\/li>\n\n\n\n<li>Multiply the denominators (the bottom numbers) of the fractions to get the new denominator.<\/li>\n\n\n\n<li>Finally, simplify the resulting fraction if possible.<\/li>\n<\/ol>\n\n\n\n<p><strong>Step-by-Step Calculation<\/strong><\/p>\n\n\n\n<p><strong>Step 1: Multiply the Numerators<\/strong><br>First, we take the numerators from each fraction, which are 3 and 6, and multiply them together.<\/p>\n\n\n\n<p>3 \u00d7 6 = 18<\/p>\n\n\n\n<p>This value, 18, becomes the numerator of our new fraction.<\/p>\n\n\n\n<p><strong>Step 2: Multiply the Denominators<\/strong><br>Next, we take the denominators from each fraction, which are 4 and 5, and multiply them together.<\/p>\n\n\n\n<p>4 \u00d7 5 = 20<\/p>\n\n\n\n<p>This value, 20, becomes the denominator of our new fraction.<\/p>\n\n\n\n<p><strong>Step 3: Write the Resulting Fraction<\/strong><br>Combining the results from the first two steps, we get the fraction:<\/p>\n\n\n\n<p>18\/20<\/p>\n\n\n\n<p><strong>Step 4: Simplify the Fraction<\/strong><br>The instruction asks for the answer in its &#8220;simplest form.&#8221; This means we must reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD is the largest number that divides both numbers evenly.<\/p>\n\n\n\n<p>To find the GCD of 18 and 20, we can list their factors:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Factors of 18: 1,\u00a0<strong>2<\/strong>, 3, 6, 9, 18<\/li>\n\n\n\n<li>Factors of 20: 1,\u00a0<strong>2<\/strong>, 4, 5, 10, 20<\/li>\n<\/ul>\n\n\n\n<p>The greatest factor they have in common is 2. Therefore, we divide both the numerator and the denominator by 2.<\/p>\n\n\n\n<p>18 \u00f7 2 = 9<br>20 \u00f7 2 = 10<\/p>\n\n\n\n<p>This gives us the simplified fraction&nbsp;<strong>9\/10<\/strong>. Since 9 and 10 have no common factors other than 1, this is the fraction in its simplest form.<\/p>\n\n\n\n<p><strong>Final Answer<\/strong><br>The product of 3\/4 and 6\/5 is&nbsp;<strong>9\/10<\/strong>.<\/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-banner9-326.jpeg\" alt=\"\" class=\"wp-image-232602\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Multiply. Write your answer as a fraction in simplest form The Correct Answer and Explanation is: The correct answer is&nbsp;9\/10. Explanation: Objective:To multiply the fractions 3\/4 and 6\/5 and write the final answer in its simplest form. Understanding the Method Multiplying fractions is a straightforward process. There are two main steps: Step-by-Step Calculation Step 1: [&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-232600","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232600","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=232600"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232600\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=232600"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=232600"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=232600"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}