{"id":30989,"date":"2025-06-21T21:34:34","date_gmt":"2025-06-21T21:34:34","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=30989"},"modified":"2025-06-21T21:34:35","modified_gmt":"2025-06-21T21:34:35","slug":"which-mixed-number-is-equivalent-to-the-improper-fraction","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/which-mixed-number-is-equivalent-to-the-improper-fraction\/","title":{"rendered":"which mixed number is equivalent to the improper fraction"},"content":{"rendered":"\n<p>which mixed number is equivalent to the improper fraction? 23\/3 A. 6 5\/3 B. 8 1\/3 C. 7 1\/3 D. 7 2\/3<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is: <strong>C. 7 2\/3<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>To convert an improper fraction like <strong>23\/3<\/strong> into a mixed number, follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. <strong>Divide the numerator by the denominator.<\/strong><\/h3>\n\n\n\n<p>We divide 23 by 3:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3 goes into 23 a total of <strong>7<\/strong> times without exceeding it.<\/li>\n\n\n\n<li>3 \u00d7 7 = 21<\/li>\n\n\n\n<li>Subtract 21 from 23 to get the remainder: 23 \u2212 21 = <strong>2<\/strong><\/li>\n<\/ul>\n\n\n\n<p>So, we have:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Quotient = 7 (this is the <strong>whole number<\/strong> part)<\/li>\n\n\n\n<li>Remainder = 2 (this becomes the <strong>numerator<\/strong> of the fractional part)<\/li>\n\n\n\n<li>The <strong>denominator<\/strong> remains the same = 3<\/li>\n<\/ul>\n\n\n\n<p>Thus, <strong>23\/3 = 7 2\/3<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. <strong>Understanding why this works:<\/strong><\/h3>\n\n\n\n<p>Improper fractions have numerators greater than or equal to the denominators, meaning they represent values greater than one whole unit. Mixed numbers express this value as a combination of a whole number and a proper fraction.<\/p>\n\n\n\n<p>The mixed number 7 2\/3 means:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Seven whole parts (each equal to 3\/3),<\/li>\n\n\n\n<li>Plus an additional 2\/3,<\/li>\n\n\n\n<li>So altogether:<br>7 \u00d7 3\/3 = 21\/3, and<br>21\/3 + 2\/3 = 23\/3<\/li>\n<\/ul>\n\n\n\n<p>Therefore, 7 2\/3 is equivalent to 23\/3.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. <strong>Why other options are incorrect:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A. 6 5\/3: This is also an improper mixed number. 5\/3 is greater than 1, making it incorrect as a simplified mixed number.<\/li>\n\n\n\n<li>B. 8 1\/3: 8 \u00d7 3 + 1 = 24 + 1 = 25 \u2192 25\/3, not 23\/3.<\/li>\n\n\n\n<li>D. 7 1\/3: 7 \u00d7 3 + 1 = 21 + 1 = 22 \u2192 22\/3, not 23\/3.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer: <strong>C. 7 2\/3<\/strong><\/h3>\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-banner8-326.jpeg\" alt=\"\" class=\"wp-image-30990\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-326.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-326-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-326-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>which mixed number is equivalent to the improper fraction? 23\/3 A. 6 5\/3 B. 8 1\/3 C. 7 1\/3 D. 7 2\/3 The Correct Answer and Explanation is: The correct answer is: C. 7 2\/3 Explanation: To convert an improper fraction like 23\/3 into a mixed number, follow these steps: 1. Divide the numerator by [&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-30989","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30989","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=30989"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30989\/revisions"}],"predecessor-version":[{"id":30991,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30989\/revisions\/30991"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=30989"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=30989"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=30989"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}