{"id":227295,"date":"2025-06-06T04:33:20","date_gmt":"2025-06-06T04:33:20","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=227295"},"modified":"2025-06-06T04:33:22","modified_gmt":"2025-06-06T04:33:22","slug":"write-two-division-expressions-that-have-the-same-value-as-36-8%c3%b72-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/06\/write-two-division-expressions-that-have-the-same-value-as-36-8%c3%b72-3\/","title":{"rendered":"Write two division expressions that have the same value as 36.8\u00f72.3."},"content":{"rendered":"\n

Write two division expressions that have the same value as 36.8\u00f72.3.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Division Expressions with Same Value as 36.8 \u00f7 2.3<\/h3>\n\n\n\n

Original Expression:<\/strong>
36.8\u00f72.336.8 \\div 2.3<\/p>\n\n\n\n

To find equivalent division expressions that have the same value, we can scale both the dividend (36.8) and the divisor (2.3) by the same factor. One common method is to multiply both by 10 or by a number that eliminates decimals.<\/p>\n\n\n\n

\n\n\n\n

Two Equivalent Expressions:<\/strong> 36.8\u00d7102.3\u00d710=36823\\frac{36.8 \\times 10}{2.3 \\times 10} = \\frac{368}{23}<\/p>\n\n\n\n

    \n
  1. <\/li>\n<\/ol>\n\n\n\n

    36.8\u00d71002.3\u00d7100=3680230\\frac{36.8 \\times 100}{2.3 \\times 100} = \\frac{3680}{230}<\/p>\n\n\n\n

    \n\n\n\n

    Correct Answer:<\/h3>\n\n\n\n

    36.8\u00f72.3=1636.8 \\div 2.3 = 16<\/p>\n\n\n\n

    \n\n\n\n

    Explanation:<\/h3>\n\n\n\n

    To solve the expression 36.8\u00f72.336.8 \\div 2.3, we can simplify the problem by eliminating the decimals through multiplication. This helps to make the arithmetic easier and shows us how different expressions can still yield the same result.<\/p>\n\n\n\n

    First, let\u2019s multiply both the dividend and the divisor by 10. This gives us: 36.8\u00d7102.3\u00d710=36823\\frac{36.8 \\times 10}{2.3 \\times 10} = \\frac{368}{23}<\/p>\n\n\n\n

    Now, we\u2019re working with whole numbers. Dividing 368 by 23 also equals 16. This proves that the expression 36823\\frac{368}{23} is equivalent to 36.8\u00f72.336.8 \\div 2.3.<\/p>\n\n\n\n

    Next, let\u2019s try multiplying both numbers by 100 instead. This eliminates the decimals even further: 36.8\u00d71002.3\u00d7100=3680230\\frac{36.8 \\times 100}{2.3 \\times 100} = \\frac{3680}{230}<\/p>\n\n\n\n

    If we divide 3680 by 230, we again get 16. So, 3680230\\frac{3680}{230} is also equivalent.<\/p>\n\n\n\n

    This shows that if we scale both numbers in a division expression by the same factor (like 10 or 100), the quotient remains unchanged. This method is especially useful for simplifying division when working with decimals.<\/p>\n\n\n\n

    In summary, all three expressions\u201436.8\u00f72.336.8 \\div 2.3, 368\u00f723368 \\div 23, and 3680\u00f72303680 \\div 230\u2014have the same value: 16<\/strong>. This is because multiplication of both the numerator and denominator by the same number keeps the ratio the same.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    Write two division expressions that have the same value as 36.8\u00f72.3. The Correct Answer and Explanation is: Division Expressions with Same Value as 36.8 \u00f7 2.3 Original Expression:36.8\u00f72.336.8 \\div 2.3 To find equivalent division expressions that have the same value, we can scale both the dividend (36.8) and the divisor (2.3) by the same factor. […]<\/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-227295","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227295","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=227295"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227295\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=227295"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=227295"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=227295"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}