{"id":169546,"date":"2024-11-19T10:55:20","date_gmt":"2024-11-19T10:55:20","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=169546"},"modified":"2024-11-19T10:55:22","modified_gmt":"2024-11-19T10:55:22","slug":"which-of-the-following-is-a-true-statement-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/19\/which-of-the-following-is-a-true-statement-2\/","title":{"rendered":"Which of the following is a true statement"},"content":{"rendered":"\n<p>Which of the following is a true statement?<br>1\/3 &gt; 3\/8<br>4\/8&lt; 8\/24 4\/8&lt;9\/16 4\/16&gt;3\/8<\/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>Let&#8217;s evaluate each of the given statements one by one.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>1\/3 > 3\/8<\/strong> To compare these two fractions, we can find a common denominator or convert them to decimals. Let&#8217;s first convert both fractions into decimals.<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( \\frac{1}{3} \\approx 0.3333 )<\/li>\n\n\n\n<li>( \\frac{3}{8} = 0.375 ) Since ( 0.3333 &lt; 0.375 ), the statement <strong>1\/3 > 3\/8<\/strong> is <strong>false<\/strong>.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>4\/8 &lt; 8\/24<\/strong> To compare these two fractions, let&#8217;s simplify both fractions.<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( \\frac{4}{8} ) simplifies to ( \\frac{1}{2} ) (since both the numerator and denominator can be divided by 4).<\/li>\n\n\n\n<li>( \\frac{8}{24} ) simplifies to ( \\frac{1}{3} ) (since both the numerator and denominator can be divided by 8). Now, compare ( \\frac{1}{2} ) and ( \\frac{1}{3} ). Since ( \\frac{1}{2} = 0.5 ) and ( \\frac{1}{3} \\approx 0.3333 ), it&#8217;s clear that ( \\frac{1}{2} > \\frac{1}{3} ). Therefore, the statement <strong>4\/8 &lt; 8\/24<\/strong> is <strong>false<\/strong>.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>4\/8 &lt; 9\/16<\/strong> We simplify ( \\frac{4}{8} ) to ( \\frac{1}{2} ) as before. Now, let&#8217;s compare ( \\frac{1}{2} ) with ( \\frac{9}{16} ).<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To compare these fractions, we can either convert them to decimals or find a common denominator. Let&#8217;s convert to decimals:<\/li>\n\n\n\n<li>( \\frac{1}{2} = 0.5 )<\/li>\n\n\n\n<li>( \\frac{9}{16} = 0.5625 ) Since ( 0.5 &lt; 0.5625 ), the statement <strong>4\/8 &lt; 9\/16<\/strong> is <strong>true<\/strong>.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>4\/16 > 3\/8<\/strong> Let&#8217;s simplify ( \\frac{4}{16} ) to ( \\frac{1}{4} ). Now compare ( \\frac{1}{4} ) and ( \\frac{3}{8} ).<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To compare these, we can find a common denominator. The least common denominator (LCD) of 4 and 8 is 8.<\/li>\n\n\n\n<li>( \\frac{1}{4} = \\frac{2}{8} ) (by multiplying both the numerator and denominator by 2).<\/li>\n\n\n\n<li>( \\frac{3}{8} ) remains as is. Since ( \\frac{2}{8} &lt; \\frac{3}{8} ), the statement <strong>4\/16 > 3\/8<\/strong> is <strong>false<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The <strong>true statement<\/strong> is <strong>4\/8 &lt; 9\/16<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which of the following is a true statement?1\/3 &gt; 3\/84\/8&lt; 8\/24 4\/8&lt;9\/16 4\/16&gt;3\/8 The Correct Answer and Explanation is: Let&#8217;s evaluate each of the given statements one by one. Conclusion: The true statement is 4\/8 &lt; 9\/16.<\/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-169546","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/169546","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=169546"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/169546\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=169546"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=169546"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=169546"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}