{"id":156997,"date":"2024-10-17T20:06:50","date_gmt":"2024-10-17T20:06:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=156997"},"modified":"2024-10-17T20:06:52","modified_gmt":"2024-10-17T20:06:52","slug":"what-is-bigger","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/17\/what-is-bigger\/","title":{"rendered":"What is bigger"},"content":{"rendered":"\n<p>What is bigger ?5\/8 or 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 compare the fractions ( \\frac{5}{8} ) and ( \\frac{3}{4} ), we first need to express them with a common denominator or convert them to decimals.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Method 1: Common Denominator<\/h3>\n\n\n\n<p>The denominators of the fractions are 8 and 4. The least common denominator (LCD) of 8 and 4 is 8. We can convert ( \\frac{3}{4} ) to have this common denominator:<\/p>\n\n\n\n<p>[<br>\\frac{3}{4} = \\frac{3 \\times 2}{4 \\times 2} = \\frac{6}{8}<br>]<\/p>\n\n\n\n<p>Now we have:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( \\frac{5}{8} )<\/li>\n\n\n\n<li>( \\frac{6}{8} )<\/li>\n<\/ul>\n\n\n\n<p>Now that both fractions have the same denominator, we can compare the numerators. Since 5 is less than 6, we conclude that:<\/p>\n\n\n\n<p>[<br>\\frac{5}{8} &lt; \\frac{6}{8}<br>]<\/p>\n\n\n\n<p>Thus, ( \\frac{5}{8} &lt; \\frac{3}{4} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Method 2: Decimal Conversion<\/h3>\n\n\n\n<p>Alternatively, we can convert both fractions to decimals to compare them directly:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To convert ( \\frac{5}{8} ):<\/li>\n<\/ul>\n\n\n\n<p>[<br>\\frac{5}{8} = 0.625<br>]<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To convert ( \\frac{3}{4} ):<\/li>\n<\/ul>\n\n\n\n<p>[<br>\\frac{3}{4} = 0.75<br>]<\/p>\n\n\n\n<p>Now, comparing the decimal values:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( 0.625 &lt; 0.75 )<\/li>\n<\/ul>\n\n\n\n<p>This confirms our earlier conclusion that ( \\frac{5}{8} &lt; \\frac{3}{4} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>Both methods indicate that ( \\frac{3}{4} ) is greater than ( \\frac{5}{8} ). This understanding of comparing fractions through finding a common denominator or converting them to decimals is crucial in mathematics, as it enhances our ability to make comparisons between different numerical values, aiding in a variety of mathematical and real-world applications. Therefore, the answer is that ( \\frac{3}{4} ) is larger than ( \\frac{5}{8} ).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is bigger ?5\/8 or 3\/4 The Correct Answer and Explanation is : To compare the fractions ( \\frac{5}{8} ) and ( \\frac{3}{4} ), we first need to express them with a common denominator or convert them to decimals. Method 1: Common Denominator The denominators of the fractions are 8 and 4. The least common [&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-156997","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156997","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=156997"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156997\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156997"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156997"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156997"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}