{"id":29384,"date":"2025-06-21T03:20:29","date_gmt":"2025-06-21T03:20:29","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=29384"},"modified":"2025-06-21T03:20:31","modified_gmt":"2025-06-21T03:20:31","slug":"what-are-the-equivalent-fractions-of-6-8-and-1-2","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-are-the-equivalent-fractions-of-6-8-and-1-2\/","title":{"rendered":"what are the equivalent fractions of 6\/8 and 1\/2"},"content":{"rendered":"\n<p>what are the equivalent fractions of 6\/8 and 1\/2<\/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><strong>Correct Answer:<\/strong><br>Equivalent fractions of <strong>6\/8<\/strong> include <strong>3\/4<\/strong>, <strong>12\/16<\/strong>, and <strong>18\/24<\/strong>.<br>Equivalent fractions of <strong>1\/2<\/strong> include <strong>2\/4<\/strong>, <strong>3\/6<\/strong>, and <strong>4\/8<\/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>Equivalent fractions are fractions that have different numerators and denominators but represent the same value or proportion of a whole. To find an equivalent fraction, you can either multiply or divide both the numerator and denominator of a given fraction by the same non-zero number. This does not change the value of the fraction.<\/p>\n\n\n\n<p>Let us start with <strong>6\/8<\/strong>. To simplify it, we look for the greatest common factor (GCF) of 6 and 8, which is 2. Dividing both the numerator and denominator by 2 gives us: 6\u00f72=3and8\u00f72=46 \u00f7 2 = 3 \\quad \\text{and} \\quad 8 \u00f7 2 = 46\u00f72=3and8\u00f72=4<\/p>\n\n\n\n<p>So, <strong>6\/8 = 3\/4<\/strong>, which means they are equivalent. You can also create other equivalent fractions by multiplying both the numerator and denominator of 6\/8 by the same number. For example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6\u00d72=126 \u00d7 2 = 126\u00d72=12 and 8\u00d72=168 \u00d7 2 = 168\u00d72=16, so 6\/8=12\/166\/8 = 12\/166\/8=12\/16<\/li>\n\n\n\n<li>6\u00d73=186 \u00d7 3 = 186\u00d73=18 and 8\u00d73=248 \u00d7 3 = 248\u00d73=24, so 6\/8=18\/246\/8 = 18\/246\/8=18\/24<\/li>\n<\/ul>\n\n\n\n<p>Now let us look at <strong>1\/2<\/strong>. This fraction is already in its simplest form, but you can find equivalent fractions by multiplying both parts:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1\u00d72=21 \u00d7 2 = 21\u00d72=2 and 2\u00d72=42 \u00d7 2 = 42\u00d72=4, so 1\/2=2\/41\/2 = 2\/41\/2=2\/4<\/li>\n\n\n\n<li>1\u00d73=31 \u00d7 3 = 31\u00d73=3 and 2\u00d73=62 \u00d7 3 = 62\u00d73=6, so 1\/2=3\/61\/2 = 3\/61\/2=3\/6<\/li>\n\n\n\n<li>1\u00d74=41 \u00d7 4 = 41\u00d74=4 and 2\u00d74=82 \u00d7 4 = 82\u00d74=8, so 1\/2=4\/81\/2 = 4\/81\/2=4\/8<\/li>\n<\/ul>\n\n\n\n<p>By understanding how to multiply or divide both parts of a fraction, you can easily generate equivalent fractions that represent the same value.<\/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-banner8-292.jpeg\" alt=\"\" class=\"wp-image-29385\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-292.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-292-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-292-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>what are the equivalent fractions of 6\/8 and 1\/2 The Correct Answer and Explanation is: Correct Answer:Equivalent fractions of 6\/8 include 3\/4, 12\/16, and 18\/24.Equivalent fractions of 1\/2 include 2\/4, 3\/6, and 4\/8. Explanation: Equivalent fractions are fractions that have different numerators and denominators but represent the same value or proportion of a whole. To [&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-29384","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29384","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=29384"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29384\/revisions"}],"predecessor-version":[{"id":29386,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29384\/revisions\/29386"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=29384"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=29384"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=29384"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}