{"id":20421,"date":"2025-06-14T12:37:08","date_gmt":"2025-06-14T12:37:08","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=20421"},"modified":"2025-06-14T12:37:10","modified_gmt":"2025-06-14T12:37:10","slug":"76-is-between-which-of-the-following-two-numbers-1-5-and-1-4-1-3-and-1-2-2-3-and-7-10-3-4-and-5-6","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/76-is-between-which-of-the-following-two-numbers-1-5-and-1-4-1-3-and-1-2-2-3-and-7-10-3-4-and-5-6\/","title":{"rendered":"76% is between which of the following two numbers 1\/5 and 1\/4 ,1\/3 and 1\/2, 2\/3 and 7\/10 , 3\/4 and 5\/6"},"content":{"rendered":"\n<p>76% is between which of the following two numbers 1\/5 and 1\/4 ,1\/3 and 1\/2, 2\/3 and 7\/10 , 3\/4 and 5\/6?<\/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: 3\/4 and 5\/6<\/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>Explanation (300 words):<\/strong><\/h3>\n\n\n\n<p>To determine between which two fractions <strong>76%<\/strong> lies, we need to <strong>convert each fraction into a percentage<\/strong> and compare it to 76%.<\/p>\n\n\n\n<p>Let\u2019s convert all given fractions to percentages:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>1\/5 = 0.20 = 20%<\/strong><\/li>\n\n\n\n<li><strong>1\/4 = 0.25 = 25%<\/strong><\/li>\n\n\n\n<li><strong>1\/3 \u2248 0.333&#8230; = 33.33%<\/strong><\/li>\n\n\n\n<li><strong>1\/2 = 0.5 = 50%<\/strong><\/li>\n\n\n\n<li><strong>2\/3 \u2248 0.666&#8230; = 66.67%<\/strong><\/li>\n\n\n\n<li><strong>7\/10 = 0.7 = 70%<\/strong><\/li>\n\n\n\n<li><strong>3\/4 = 0.75 = 75%<\/strong><\/li>\n\n\n\n<li><strong>5\/6 \u2248 0.833&#8230; = 83.33%<\/strong><\/li>\n<\/ol>\n\n\n\n<p>Now, compare these values to <strong>76%<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>76% is <strong>greater than 1\/5 (20%) and 1\/4 (25%)<\/strong> \u2013 too low.<\/li>\n\n\n\n<li>76% is <strong>greater than 1\/3 (33.33%) and 1\/2 (50%)<\/strong> \u2013 still too low.<\/li>\n\n\n\n<li>76% is <strong>greater than 2\/3 (66.67%) and 7\/10 (70%)<\/strong> \u2013 still less than 76%.<\/li>\n\n\n\n<li>76% is <strong>greater than 3\/4 (75%)<\/strong> and <strong>less than 5\/6 (83.33%)<\/strong> \u2013 <strong>this is the correct range<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Thus, <strong>76% falls between 3\/4 and 5\/6<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Why this matters:<\/h3>\n\n\n\n<p>Understanding percentages in terms of fractions helps with quick mental math, estimation, and interpreting data in everyday life. For instance, if a test score is 76%, it helps to know that\u2019s just slightly above 3\/4 (75%) and closer to 80% (or 4\/5), which gives context to how good the score is. Similarly, in real-world decisions like budgeting, shopping discounts, or voting statistics, recognizing that 76% is closer to 3\/4 than 5\/6 helps you draw better conclusions quickly.<\/p>\n\n\n\n<p>So, the correct range is:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u2705 <strong>Between 3\/4 and 5\/6<\/strong>.<\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>76% is between which of the following two numbers 1\/5 and 1\/4 ,1\/3 and 1\/2, 2\/3 and 7\/10 , 3\/4 and 5\/6? The correct answer and explanation is: Correct Answer: 3\/4 and 5\/6 Explanation (300 words): To determine between which two fractions 76% lies, we need to convert each fraction into a percentage and compare [&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-20421","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20421","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=20421"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20421\/revisions"}],"predecessor-version":[{"id":20422,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20421\/revisions\/20422"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=20421"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=20421"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=20421"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}