{"id":162568,"date":"2024-11-06T20:27:26","date_gmt":"2024-11-06T20:27:26","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=162568"},"modified":"2024-11-06T20:27:28","modified_gmt":"2024-11-06T20:27:28","slug":"what-is-the-lcd-of-1-3-and-3-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/06\/what-is-the-lcd-of-1-3-and-3-4\/","title":{"rendered":"What is the LCD of 1\/3 and 3\/4"},"content":{"rendered":"\n<p>What is the LCD of 1\/3 and 3\/4 ?<\/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 find the least common denominator (LCD) of the fractions ( \\frac{1}{3} ) and ( \\frac{3}{4} ), we need to find the least common multiple (LCM) of the denominators 3 and 4.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Steps to find the LCD:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>List the multiples of each denominator:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, \u2026<\/li>\n\n\n\n<li>Multiples of 4: 4, 8, 12, 16, 20, 24, \u2026<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the least common multiple:<\/strong><br>The smallest multiple common to both 3 and 4 is 12. Therefore, the LCD of 3 and 4 is <strong>12<\/strong>.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Converting the fractions to have the same denominator:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For ( \\frac{1}{3} ), we need to convert it to a fraction with a denominator of 12. To do this, we multiply both the numerator and denominator by 4 (since ( 3 \\times 4 = 12 )): [<br>\\frac{1}{3} = \\frac{1 \\times 4}{3 \\times 4} = \\frac{4}{12}<br>]<\/li>\n\n\n\n<li>For ( \\frac{3}{4} ), we need to convert it to a fraction with a denominator of 12. To do this, we multiply both the numerator and denominator by 3 (since ( 4 \\times 3 = 12 )): [<br>\\frac{3}{4} = \\frac{3 \\times 3}{4 \\times 3} = \\frac{9}{12}<br>]<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The LCD of ( \\frac{1}{3} ) and ( \\frac{3}{4} ) is <strong>12<\/strong>.<\/li>\n\n\n\n<li>The fractions ( \\frac{1}{3} ) and ( \\frac{3}{4} ) can be rewritten with a denominator of 12 as ( \\frac{4}{12} ) and ( \\frac{9}{12} ), respectively.<\/li>\n<\/ul>\n\n\n\n<p>This process of finding the LCD and converting the fractions allows us to compare or perform operations like addition or subtraction on fractions with different denominators.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the LCD of 1\/3 and 3\/4 ? The Correct Answer and Explanation is : To find the least common denominator (LCD) of the fractions ( \\frac{1}{3} ) and ( \\frac{3}{4} ), we need to find the least common multiple (LCM) of the denominators 3 and 4. Steps to find the LCD: Converting 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-162568","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162568","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=162568"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162568\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162568"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162568"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162568"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}