{"id":40738,"date":"2025-06-27T20:02:21","date_gmt":"2025-06-27T20:02:21","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=40738"},"modified":"2025-06-27T20:02:25","modified_gmt":"2025-06-27T20:02:25","slug":"what-is-the-fraction-that-is-halfway-between-1-3-and-1-1-2","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-the-fraction-that-is-halfway-between-1-3-and-1-1-2\/","title":{"rendered":"What is the fraction that is halfway between 1\/3 and 1 1\/2"},"content":{"rendered":"\n<p>What is the fraction that is halfway between 1\/3 and 1 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: 17\/24<\/strong><\/p>\n\n\n\n<p>To find the fraction that is halfway between <strong>1\/3<\/strong> and <strong>1 1\/2<\/strong>, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Convert all numbers to improper fractions<\/strong> for easier calculations.\n<ul class=\"wp-block-list\">\n<li>1\/3 is already a fraction.<\/li>\n\n\n\n<li>1 1\/2 as an improper fraction is:<br>1 1\/2 = (2 \u00d7 1 + 1)\/2 = 3\/2<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Find a common denominator<\/strong> so the fractions can be compared and added easily.<br>The least common denominator of 3 and 2 is 6.\n<ul class=\"wp-block-list\">\n<li>Convert 1\/3 to sixths:<br>1\/3 = 2\/6<\/li>\n\n\n\n<li>Convert 3\/2 to sixths:<br>3\/2 = 9\/6<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Find the average of the two fractions<\/strong>. This gives the value halfway between them.<br>Add the two fractions:<br>2\/6 + 9\/6 = 11\/6<br>Divide the result by 2:<br>(11\/6) \u00f7 2 = 11\/12 But this is only correct if we are finding the halfway point between <strong>1\/3 and 3\/2<\/strong>.<br>Let us recheck this using decimal values for accuracy.\n<ul class=\"wp-block-list\">\n<li>1\/3 \u2248 0.333<\/li>\n\n\n\n<li>1 1\/2 = 1.5<br>The average of 0.333 and 1.5 is:<br>(0.333 + 1.5)\/2 = 1.833\/2 \u2248 0.9165<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Convert 0.9165 to a fraction<\/strong>.<br>Try a fraction close to this value.<br>11\/12 = 0.9166&#8230;, which matches the decimal.<br>So, the answer is <strong>11\/12<\/strong>.<\/li>\n<\/ol>\n\n\n\n<p>Wait. There appears to be an inconsistency. The first method gave 11\/12, but earlier it was stated as 17\/24.<\/p>\n\n\n\n<p>Let us <strong>verify the correct answer again<\/strong> by averaging the two original fractions:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1\/3 = 8\/24<\/li>\n\n\n\n<li>1 1\/2 = 36\/24<br>Add: 8\/24 + 36\/24 = 44\/24<br>Divide by 2: (44\/24) \u00f7 2 = 22\/24<br>Simplify: 22\/24 = <strong>11\/12<\/strong><\/li>\n<\/ul>\n\n\n\n<p>So the correct simplified answer is <strong>11\/12<\/strong>, <strong>not 17\/24<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer: <strong>11\/12<\/strong><\/h3>\n\n\n\n<p>This fraction lies exactly halfway between 1\/3 and 1 1\/2. The process involves converting to a common denominator, adding, and dividing by 2 to find the midpoint.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the fraction that is halfway between 1\/3 and 1 1\/2 The correct answer and explanation is: Correct Answer: 17\/24 To find the fraction that is halfway between 1\/3 and 1 1\/2, follow these steps: Wait. There appears to be an inconsistency. The first method gave 11\/12, but earlier it was stated as 17\/24. [&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-40738","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40738","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=40738"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40738\/revisions"}],"predecessor-version":[{"id":40739,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40738\/revisions\/40739"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=40738"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=40738"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=40738"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}