{"id":26087,"date":"2025-06-19T10:16:43","date_gmt":"2025-06-19T10:16:43","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=26087"},"modified":"2025-06-19T10:16:45","modified_gmt":"2025-06-19T10:16:45","slug":"write-the-answer-in-simplest-form-3-7-divided-by-2-3-9-14-14","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-the-answer-in-simplest-form-3-7-divided-by-2-3-9-14-14\/","title":{"rendered":"Write the answer in simplest form 3\/7 divided by 2\/3 = 9\/14 14"},"content":{"rendered":"\n<p>12) 2 1\/7 x 3 2\/3 = 15\/7 x 11\/3 = 165\/21 = 55\/7 = 7 6\/7 13) Divide. Write the answer in simplest form 3\/7 divided by 2\/3 = 9\/14 14) 1\/8 divided by 3\/4 = 1\/6 15) 2 1\/7 divided by 3 2\/3 = 45\/77 Can you please check to see if I got the above answers correct? Thank you<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Let&#8217;s go through each problem step by step and verify your answers.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>12) Multiply: 2 1\/7 \u00d7 3 2\/3<\/strong><\/p>\n\n\n\n<p><strong>Step 1: Convert to improper fractions.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>217=1572\\frac{1}{7} = \\frac{15}{7}271\u200b=715\u200b<\/li>\n\n\n\n<li>323=1133\\frac{2}{3} = \\frac{11}{3}332\u200b=311\u200b<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2: Multiply the fractions.<\/strong>157\u00d7113=16521\\frac{15}{7} \\times \\frac{11}{3} = \\frac{165}{21}715\u200b\u00d7311\u200b=21165\u200b<\/p>\n\n\n\n<p><strong>Step 3: Simplify.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>16521=557\\frac{165}{21} = \\frac{55}{7}21165\u200b=755\u200b (dividing numerator and denominator by 3)<\/li>\n\n\n\n<li>Convert to mixed number: 557=767\\frac{55}{7} = 7 \\frac{6}{7}755\u200b=776\u200b<\/li>\n<\/ul>\n\n\n\n<p>\u2705 Your answer is <strong>correct<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>13) Divide: 37\u00f723\\frac{3}{7} \\div \\frac{2}{3}73\u200b\u00f732\u200b<\/strong><\/p>\n\n\n\n<p><strong>Step 1: Multiply by the reciprocal.<\/strong>37\u00f723=37\u00d732=914\\frac{3}{7} \\div \\frac{2}{3} = \\frac{3}{7} \\times \\frac{3}{2} = \\frac{9}{14}73\u200b\u00f732\u200b=73\u200b\u00d723\u200b=149\u200b<\/p>\n\n\n\n<p>\u2705 Your answer is <strong>correct<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>14) Divide: 18\u00f734\\frac{1}{8} \\div \\frac{3}{4}81\u200b\u00f743\u200b<\/strong><\/p>\n\n\n\n<p><strong>Step 1: Multiply by the reciprocal.<\/strong>18\u00f734=18\u00d743=424=16\\frac{1}{8} \\div \\frac{3}{4} = \\frac{1}{8} \\times \\frac{4}{3} = \\frac{4}{24} = \\frac{1}{6}81\u200b\u00f743\u200b=81\u200b\u00d734\u200b=244\u200b=61\u200b<\/p>\n\n\n\n<p>\u2705 Your answer is <strong>correct<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>15) Divide: 217\u00f73232\\frac{1}{7} \\div 3\\frac{2}{3}271\u200b\u00f7332\u200b<\/strong><\/p>\n\n\n\n<p><strong>Step 1: Convert to improper fractions.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>217=1572\\frac{1}{7} = \\frac{15}{7}271\u200b=715\u200b<\/li>\n\n\n\n<li>323=1133\\frac{2}{3} = \\frac{11}{3}332\u200b=311\u200b<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2: Multiply by the reciprocal.<\/strong>157\u00f7113=157\u00d7311=4577\\frac{15}{7} \\div \\frac{11}{3} = \\frac{15}{7} \\times \\frac{3}{11} = \\frac{45}{77}715\u200b\u00f7311\u200b=715\u200b\u00d7113\u200b=7745\u200b<\/p>\n\n\n\n<p>\u2705 Your answer is <strong>correct<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Conclusion:<\/strong><br>All four of your answers are accurate. You correctly converted mixed numbers to improper fractions, used reciprocal multiplication for division, and simplified where necessary. This shows a solid understanding of fraction operations. Keep practicing to maintain accuracy and build speed.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"722\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-56.jpeg\" alt=\"\" class=\"wp-image-26090\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-56.jpeg 722w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-56-212x300.jpeg 212w\" sizes=\"auto, (max-width: 722px) 100vw, 722px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>12) 2 1\/7 x 3 2\/3 = 15\/7 x 11\/3 = 165\/21 = 55\/7 = 7 6\/7 13) Divide. Write the answer in simplest form 3\/7 divided by 2\/3 = 9\/14 14) 1\/8 divided by 3\/4 = 1\/6 15) 2 1\/7 divided by 3 2\/3 = 45\/77 Can you please check to see if I [&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-26087","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26087","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=26087"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26087\/revisions"}],"predecessor-version":[{"id":26092,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26087\/revisions\/26092"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=26087"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=26087"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=26087"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}