To determine if half of half<\/em> and one third of three quarters<\/em> are equal, calculate each expression separately:<\/p>\n\n\n\n Half of half:<\/strong><\/p>\n\n\n\n Start with 1\/2. One third of three quarters:<\/strong><\/p>\n\n\n\n Start with 3\/4. The result for both expressions is 1\/4. Explanation (300 words):<\/strong><\/p>\n\n\n\n In comparing two mathematical expressions, it is important to break each one into smaller parts and follow the rules of fractions. The phrase half of half<\/em> means taking a half portion from a quantity that is already halved. Mathematically, this is represented by multiplying 1\/2 by 1\/2. When two fractions are multiplied, the numerators and denominators are multiplied directly. In this case, 1 multiplied by 1 gives 1, and 2 multiplied by 2 gives 4, resulting in 1\/4.<\/p>\n\n\n\n The second expression, one third of three quarters<\/em>, involves taking a third portion from a quantity that is already three-fourths of a whole. This is represented as 1\/3 multiplied by 3\/4. The multiplication of these two fractions gives 3 in the numerator and 12 in the denominator, which simplifies to 1\/4 after dividing both terms by 3.<\/p>\n\n\n\n After computing both expressions separately, each results in the same fraction: 1\/4. This confirms that half of half<\/em> and one third of three quarters<\/em> are indeed equal. The comparison shows that different-looking expressions in mathematics can sometimes lead to the same result, especially when fractional operations are involved.<\/p>\n\n\n\n Understanding these operations helps in developing deeper mathematical reasoning and highlights the importance of breaking problems into manageable steps. This method ensures accuracy and clarity in mathematical thinking.<\/p>\n\n\n\n Half of half and one third of three quarters are equal ? do you agree? how will you show this? The Correct Answer and Explanation is: To determine if half of half and one third of three quarters are equal, calculate each expression separately: Half of half: Start with 1\/2.Half of 1\/2 is:12\u00d712=14\\frac{1}{2} \\times \\frac{1}{2} […]<\/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-236469","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/236469","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=236469"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/236469\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=236469"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=236469"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=236469"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Half of 1\/2 is:12\u00d712=14\\frac{1}{2} \\times \\frac{1}{2} = \\frac{1}{4}21\u200b\u00d721\u200b=41\u200b<\/p>\n\n\n\n
One third of 3\/4 is:13\u00d734=312=14\\frac{1}{3} \\times \\frac{3}{4} = \\frac{3}{12} = \\frac{1}{4}31\u200b\u00d743\u200b=123\u200b=41\u200b<\/p>\n\n\n\n
Therefore, the two are equal<\/strong>.<\/p>\n\n\n\n
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