{"id":27829,"date":"2025-06-20T07:32:31","date_gmt":"2025-06-20T07:32:31","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=27829"},"modified":"2025-06-20T07:32:33","modified_gmt":"2025-06-20T07:32:33","slug":"which-multiplication-equation-represents-the-question","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/which-multiplication-equation-represents-the-question\/","title":{"rendered":"Which multiplication equation represents the question"},"content":{"rendered":"\n

Which multiplication equation represents the question: how many 3\/8s are in 5\/4?<\/p>\n\n\n\n

The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n

Correct Multiplication Equation:<\/strong><\/h3>\n\n\n\n

To answer the question “How many 3\/8s are in 5\/4?”<\/strong>, we rewrite it as a multiplication problem: (54\u00f738)=xcan be rewritten as38\u00d7x=54\\left( \\frac{5}{4} \\div \\frac{3}{8} \\right) = x \\quad \\text{can be rewritten as} \\quad \\frac{3}{8} \\times x = \\frac{5}{4}<\/p>\n\n\n\n

So, the multiplication equation that represents the question is: 38\u00d7x=54\\frac{3}{8} \\times x = \\frac{5}{4}<\/p>\n\n\n\n

\n\n\n\n

Solution:<\/strong><\/h3>\n\n\n\n

To solve for xx: x=54\u00f738=54\u00d783=4012=103x = \\frac{5}{4} \\div \\frac{3}{8} = \\frac{5}{4} \\times \\frac{8}{3} = \\frac{40}{12} = \\frac{10}{3}<\/p>\n\n\n\n

So, there are 103\\frac{10}{3} (or 3 and 1\/3) pieces of 38\\frac{3}{8} in 54\\frac{5}{4}.<\/strong><\/p>\n\n\n\n

\n\n\n\n

300-Word Explanation:<\/strong><\/h3>\n\n\n\n

This question is essentially asking how many times the fraction 38\\frac{3}{8}<\/strong> fits into another fraction, 54\\frac{5}{4}<\/strong>. This is a classic example of a division of fractions. However, instead of writing it as a division problem, the question asks for a multiplication equation<\/strong> that represents the situation.<\/p>\n\n\n\n

To find such an equation, consider the unknown number of times 38\\frac{3}{8} fits into 54\\frac{5}{4}. Let this unknown number be xx. If you take xx groups of 38\\frac{3}{8}, then you will get 54\\frac{5}{4}: 38\u00d7x=54\\frac{3}{8} \\times x = \\frac{5}{4}<\/p>\n\n\n\n

This equation perfectly represents the original question. We\u2019re multiplying 38\\frac{3}{8} by some number to find 54\\frac{5}{4}, and solving for that number tells us how many 38\\frac{3}{8}’s are in 54\\frac{5}{4}.<\/p>\n\n\n\n

To solve, we isolate xx by dividing both sides of the equation by 38\\frac{3}{8}, which is the same as multiplying by its reciprocal: x=54\u00f738=54\u00d783=4012=103x = \\frac{5}{4} \\div \\frac{3}{8} = \\frac{5}{4} \\times \\frac{8}{3} = \\frac{40}{12} = \\frac{10}{3}<\/p>\n\n\n\n

This means there are 103\\frac{10}{3}<\/strong> or 3 and 1\/3<\/strong> groups of 38\\frac{3}{8} in 54\\frac{5}{4}.<\/p>\n","protected":false},"excerpt":{"rendered":"

Which multiplication equation represents the question: how many 3\/8s are in 5\/4? The correct answer and explanation is: Correct Multiplication Equation: To answer the question “How many 3\/8s are in 5\/4?”, we rewrite it as a multiplication problem: (54\u00f738)=xcan be rewritten as38\u00d7x=54\\left( \\frac{5}{4} \\div \\frac{3}{8} \\right) = x \\quad \\text{can be rewritten as} \\quad \\frac{3}{8} \\times x = […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-27829","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27829","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=27829"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27829\/revisions"}],"predecessor-version":[{"id":27835,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27829\/revisions\/27835"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=27829"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=27829"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=27829"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}