{"id":20310,"date":"2025-06-14T09:21:37","date_gmt":"2025-06-14T09:21:37","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=20310"},"modified":"2025-06-14T09:21:38","modified_gmt":"2025-06-14T09:21:38","slug":"the-fraction-halfway-between-3-7-and-4-7","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/the-fraction-halfway-between-3-7-and-4-7\/","title":{"rendered":"The fraction halfway between 3\/7 and 4\/7"},"content":{"rendered":"\n<p>The fraction halfway between 3\/7 and 4\/7. A. 1\/8 B. 1\/4 C. 1\/2 D. 1\/3.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Correct Answer: None of the above.<\/strong><\/p>\n\n\n\n<p>The fraction halfway between <strong>3\/7<\/strong> and <strong>4\/7<\/strong> is: 3\/7+4\/72=7\/72=12\\frac{3\/7 + 4\/7}{2} = \\frac{7\/7}{2} = \\frac{1}{2}<\/p>\n\n\n\n<p>So, the <strong>correct answer is D. 1\/2<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>300-Word Explanation:<\/strong><\/h3>\n\n\n\n<p>To find the fraction halfway between two fractions, we calculate their <strong>average<\/strong>. The average of two numbers is the sum of the numbers divided by 2. This applies to fractions just like whole numbers.<\/p>\n\n\n\n<p>We are given the two fractions:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First fraction: 37\\frac{3}{7}<\/li>\n\n\n\n<li>Second fraction: 47\\frac{4}{7}<\/li>\n<\/ul>\n\n\n\n<p>Step 1: Add the two fractions: 37+47=77=1\\frac{3}{7} + \\frac{4}{7} = \\frac{7}{7} = 1<\/p>\n\n\n\n<p>Step 2: Divide the sum by 2 to get the average: 12=halfway&nbsp;point\\frac{1}{2} = \\text{halfway point}<\/p>\n\n\n\n<p>So, <strong>12\\frac{1}{2}<\/strong> is exactly in the middle of 37\\frac{3}{7} and 47\\frac{4}{7}.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Why This Works:<\/h3>\n\n\n\n<p>Fractions with the same denominator are easy to add and compare. Since both fractions have a denominator of 7, we can treat the numerators like whole numbers:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>37\\frac{3}{7} is like &#8220;3 parts out of 7&#8221;<\/li>\n\n\n\n<li>47\\frac{4}{7} is like &#8220;4 parts out of 7&#8221;<\/li>\n<\/ul>\n\n\n\n<p>To find the number halfway between 3 and 4: 3+42=72=3.5\\frac{3 + 4}{2} = \\frac{7}{2} = 3.5<\/p>\n\n\n\n<p>So halfway between 37\\frac{3}{7} and 47\\frac{4}{7} is: 3.57=12\\frac{3.5}{7} = \\frac{1}{2}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The answer is <strong>1\/2<\/strong>, which matches option <strong>D<\/strong>. So, <strong>D is the correct choice<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The fraction halfway between 3\/7 and 4\/7. A. 1\/8 B. 1\/4 C. 1\/2 D. 1\/3. The correct answer and explanation is: Correct Answer: None of the above. The fraction halfway between 3\/7 and 4\/7 is: 3\/7+4\/72=7\/72=12\\frac{3\/7 + 4\/7}{2} = \\frac{7\/7}{2} = \\frac{1}{2} So, the correct answer is D. 1\/2. 300-Word Explanation: To find the fraction [&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-20310","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20310","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=20310"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20310\/revisions"}],"predecessor-version":[{"id":20311,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20310\/revisions\/20311"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=20310"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=20310"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=20310"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}