{"id":29380,"date":"2025-06-21T03:18:26","date_gmt":"2025-06-21T03:18:26","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=29380"},"modified":"2025-06-21T03:18:28","modified_gmt":"2025-06-21T03:18:28","slug":"which-fractions-are-equivalent-to-6-8","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/which-fractions-are-equivalent-to-6-8\/","title":{"rendered":"Which fractions are equivalent to 6\/8"},"content":{"rendered":"\n<p>Which fractions are equivalent to 6\/8?<\/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><\/p>\n\n\n\n<p>The fractions that are equivalent to <strong>6\/8<\/strong> include:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>3\/4<\/strong><\/li>\n\n\n\n<li><strong>12\/16<\/strong><\/li>\n\n\n\n<li><strong>18\/24<\/strong><\/li>\n\n\n\n<li><strong>30\/40<\/strong><\/li>\n<\/ul>\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 find fractions equivalent to <strong>6\/8<\/strong>, we use the concept of <em>equivalent fractions<\/em>. Equivalent fractions represent the same part of a whole, even if they use different numbers. These fractions are obtained by multiplying or dividing both the numerator (top number) and denominator (bottom number) of a fraction by the <strong>same nonzero number<\/strong>.<\/p>\n\n\n\n<p>Let\u2019s start by simplifying <strong>6\/8<\/strong>:<\/p>\n\n\n\n<p>We look for the greatest common factor (GCF) of 6 and 8, which is 2.6\u00f728\u00f72=34\\frac{6 \u00f7 2}{8 \u00f7 2} = \\frac{3}{4}8\u00f726\u00f72\u200b=43\u200b<\/p>\n\n\n\n<p>So, <strong>3\/4<\/strong> is the simplified form of <strong>6\/8<\/strong>, and thus it is equivalent.<\/p>\n\n\n\n<p>Now let\u2019s create more equivalent fractions by multiplying both the numerator and denominator of <strong>6\/8<\/strong> by the same number:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply both by 2: 6\u00d728\u00d72=1216\\frac{6\u00d72}{8\u00d72} = \\frac{12}{16}8\u00d726\u00d72\u200b=1612\u200b<\/li>\n\n\n\n<li>Multiply both by 3: 6\u00d738\u00d73=1824\\frac{6\u00d73}{8\u00d73} = \\frac{18}{24}8\u00d736\u00d73\u200b=2418\u200b<\/li>\n\n\n\n<li>Multiply both by 5: 6\u00d758\u00d75=3040\\frac{6\u00d75}{8\u00d75} = \\frac{30}{40}8\u00d756\u00d75\u200b=4030\u200b<\/li>\n<\/ul>\n\n\n\n<p>Each of these fractions has the same value as <strong>6\/8<\/strong> when simplified. They represent the same proportion of a whole.<\/p>\n\n\n\n<p>To confirm, you can divide the numerator by the denominator using a calculator:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6 \u00f7 8 = 0.75<\/li>\n\n\n\n<li>3 \u00f7 4 = 0.75<\/li>\n\n\n\n<li>12 \u00f7 16 = 0.75<\/li>\n\n\n\n<li>18 \u00f7 24 = 0.75<\/li>\n\n\n\n<li>30 \u00f7 40 = 0.75<\/li>\n<\/ul>\n\n\n\n<p>Because they all equal <strong>0.75<\/strong>, these fractions are equivalent to <strong>6\/8<\/strong>. This shows how equivalent fractions can have different numbers but 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-banner8-291.jpeg\" alt=\"\" class=\"wp-image-29381\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-291.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-291-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-291-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Which fractions are equivalent to 6\/8? The Correct Answer and Explanation is: Correct Answer: The fractions that are equivalent to 6\/8 include: Explanation: To find fractions equivalent to 6\/8, we use the concept of equivalent fractions. Equivalent fractions represent the same part of a whole, even if they use different numbers. These fractions are obtained [&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-29380","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29380","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=29380"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29380\/revisions"}],"predecessor-version":[{"id":29382,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29380\/revisions\/29382"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=29380"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=29380"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=29380"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}