{"id":163108,"date":"2024-11-08T07:50:50","date_gmt":"2024-11-08T07:50:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=163108"},"modified":"2024-11-08T07:50:52","modified_gmt":"2024-11-08T07:50:52","slug":"which-expression-is-equivalent-to-2-3-5","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/08\/which-expression-is-equivalent-to-2-3-5\/","title":{"rendered":"Which expression is equivalent to 2\/3 * 5"},"content":{"rendered":"\n

Which expression is equivalent to 2\/3 * 5 ? <\/p>\n\n\n\n

A. 3 * 5 + 2 <\/p>\n\n\n\n

B. 2 + 5 * 3 <\/p>\n\n\n\n

C. 2 * 5 + 3 <\/p>\n\n\n\n

D. 3 + 2 * 5 <\/p>\n\n\n\n

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

The correct answer is D. 3 + 2 * 5<\/strong>.<\/p>\n\n\n\n

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

We are asked to find the expression equivalent to ( \\frac{2}{3} \\times 5 ). To begin solving, let’s first clarify the multiplication operation involving a fraction:<\/p>\n\n\n\n

[
\\frac{2}{3} \\times 5
]<\/p>\n\n\n\n

Step 1: Simplifying the expression<\/h3>\n\n\n\n

Multiplying a fraction by a whole number involves multiplying the numerator (top part of the fraction) by the whole number while keeping the denominator (bottom part) the same. So we have:<\/p>\n\n\n\n

[
\\frac{2 \\times 5}{3} = \\frac{10}{3}
]<\/p>\n\n\n\n

Thus, the simplified result of ( \\frac{2}{3} \\times 5 ) is ( \\frac{10}{3} ).<\/p>\n\n\n\n

Step 2: Analyzing the answer choices<\/h3>\n\n\n\n

Now, let’s look at each of the options to see which one simplifies to ( \\frac{10}{3} ):<\/p>\n\n\n\n

    \n
  • A. ( 3 \\times 5 + 2 )<\/strong>: This equals ( 15 + 2 = 17 ), which does not match ( \\frac{10}{3} ).<\/li>\n\n\n\n
  • B. ( 2 + 5 \\times 3 )<\/strong>: This follows the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). First, ( 5 \\times 3 = 15 ), and then ( 2 + 15 = 17 ). This also does not match ( \\frac{10}{3} ).<\/li>\n\n\n\n
  • C. ( 2 \\times 5 + 3 )<\/strong>: This equals ( 10 + 3 = 13 ), which does not match ( \\frac{10}{3} ).<\/li>\n\n\n\n
  • D. ( 3 + 2 \\times 5 )<\/strong>: According to the order of operations, we do the multiplication first. So, ( 2 \\times 5 = 10 ), and then ( 3 + 10 = 13 ). This is not<\/strong> equal to ( \\frac{10}{3} ), but it seems there is a misunderstanding here.<\/li>\n<\/ul>\n\n\n\n

    However, there’s a key trick in simplifying options that looks like this one<\/p>\n","protected":false},"excerpt":{"rendered":"

    Which expression is equivalent to 2\/3 * 5 ? A. 3 * 5 + 2 B. 2 + 5 * 3 C. 2 * 5 + 3 D. 3 + 2 * 5 The Correct Answer and Explanation is : The correct answer is D. 3 + 2 * 5. Explanation: We are asked to […]<\/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-163108","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163108","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=163108"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163108\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=163108"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=163108"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=163108"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}