{"id":32455,"date":"2025-06-22T14:03:05","date_gmt":"2025-06-22T14:03:05","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=32455"},"modified":"2025-06-22T14:03:06","modified_gmt":"2025-06-22T14:03:06","slug":"simplify-the-expression-2-5-8-x-3-1-7-into-an-improper-fraction-and-a-mixed-number-33-4","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/simplify-the-expression-2-5-8-x-3-1-7-into-an-improper-fraction-and-a-mixed-number-33-4\/","title":{"rendered":"Simplify the expression 2 5\/8 x 3 1\/7 into an improper fraction and a mixed number: 33\/4"},"content":{"rendered":"\n<p>Simplify the expression 2 5\/8 x 3 1\/7 into an improper fraction and a mixed number: 33\/4 ; 8 1\/4 What is the product of 2 3\/8 and 2\/3? 19\/12 ; 17\/12 What is the quotient of 5\/3 + 4\/15? 25\/4 ; 6 1\/4<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"906\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-207.png\" alt=\"\" class=\"wp-image-32456\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-207.png 906w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-207-265x300.png 265w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-207-768x868.png 768w\" sizes=\"auto, (max-width: 906px) 100vw, 906px\" \/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Let&#8217;s tackle each question with accuracy and clarity, and correct any mistakes along the way.<\/p>\n\n\n\n<p><strong>1. Simplify 2 5\/8 \u00d7 3 1\/7<\/strong><\/p>\n\n\n\n<p>Convert to improper fractions: 2 5\/8 = 21\/8 3 1\/7 = 22\/7<\/p>\n\n\n\n<p>Multiply: (21 \u00d7 22) \/ (8 \u00d7 7) = 462 \/ 56 Simplify: 462 \u00f7 14 = 33, 56 \u00f7 14 = 4 Result: 33\/4 or <strong>8 1\/4<\/strong><\/p>\n\n\n\n<p>\u2714 This is correct.<\/p>\n\n\n\n<p><strong>2. Product of 2 3\/8 \u00d7 2\/3<\/strong><\/p>\n\n\n\n<p>Convert 2 3\/8 to improper: 2 3\/8 = 19\/8<\/p>\n\n\n\n<p>Multiply: (19 \u00d7 2) \/ (8 \u00d7 3) = 38 \/ 24 Simplify: 38 \u00f7 2 = 19, 24 \u00f7 2 = 12 Result: 19\/12 or <strong>1 7\/12<\/strong><\/p>\n\n\n\n<p>\u2714 This is correct. The 17\/12 given is incorrect.<\/p>\n\n\n\n<p><strong>3. Quotient of 5\/3 \u00f7 4\/15<\/strong><\/p>\n\n\n\n<p>To divide, multiply by the reciprocal: (5\/3) \u00d7 (15\/4) = (5 \u00d7 15) \/ (3 \u00d7 4) = 75 \/ 12<\/p>\n\n\n\n<p>Simplify: 75 \u00f7 3 = 25, 12 \u00f7 3 = 4 Result: 25\/4 or <strong>6 1\/4<\/strong><\/p>\n\n\n\n<p>\u2714 This is correct.<\/p>\n\n\n\n<p><strong>Summary of corrections and explanations:<\/strong><\/p>\n\n\n\n<p>The first problem demonstrates how multiplying two mixed numbers involves converting them into improper fractions, multiplying the numerators and denominators, and then simplifying.<\/p>\n\n\n\n<p>The second problem highlights a calculation error: 17\/12 is incorrect; the correct answer is 19\/12. This mistake likely came from mismanaging either the numerator multiplication or simplifying the result too early.<\/p>\n\n\n\n<p>The third problem requires understanding that dividing by a fraction means multiplying by its reciprocal. This step can be conceptually tricky but follows consistent rules.<\/p>\n\n\n\n<p>Being careful with conversions and simplification preserves accuracy. With fractions, precision at every step is essential.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-381.jpeg\" alt=\"\" class=\"wp-image-32457\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-381.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-381-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-381-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Simplify the expression 2 5\/8 x 3 1\/7 into an improper fraction and a mixed number: 33\/4 ; 8 1\/4 What is the product of 2 3\/8 and 2\/3? 19\/12 ; 17\/12 What is the quotient of 5\/3 + 4\/15? 25\/4 ; 6 1\/4 The Correct Answer and Explanation is: Let&#8217;s tackle each question with [&hellip;]<\/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-32455","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32455","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=32455"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32455\/revisions"}],"predecessor-version":[{"id":32458,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32455\/revisions\/32458"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=32455"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=32455"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=32455"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}