{"id":42251,"date":"2025-06-28T17:40:25","date_gmt":"2025-06-28T17:40:25","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=42251"},"modified":"2025-06-28T17:40:27","modified_gmt":"2025-06-28T17:40:27","slug":"what-is-the-equivalent-rational-number-for-15-36-with","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-the-equivalent-rational-number-for-15-36-with\/","title":{"rendered":"What is the equivalent rational number for -15\/36 with"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">what is the equivalent rational number for -15\/36 with (1) denominator 12 (2) numerator -75 ?tell the answer<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><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<h3 class=\"wp-block-heading\">Solution for (1): Denominator 12<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We are given the fraction \u22121536\\frac{-15}{36}36\u221215\u200b and need to express it with a denominator of 12.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 1: Simplify the original fraction \u22121536\\frac{-15}{36}36\u221215\u200b<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">First, simplify \u22121536\\frac{-15}{36}36\u221215\u200b by finding the greatest common divisor (GCD) of 15 and 36. The GCD of 15 and 36 is 3.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 2: Divide the numerator and denominator by the GCD<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now, simplify the fraction:\u22121536=\u221215\u00f7336\u00f73=\u2212512\\frac{-15}{36} = \\frac{-15 \\div 3}{36 \\div 3} = \\frac{-5}{12}36\u221215\u200b=36\u00f73\u221215\u00f73\u200b=12\u22125\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, \u22121536\\frac{-15}{36}36\u221215\u200b simplifies to \u2212512\\frac{-5}{12}12\u22125\u200b.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Since we need the denominator to be 12 and we already have \u2212512\\frac{-5}{12}12\u22125\u200b, the equivalent rational number with denominator 12 is <strong>\u2212512\\frac{-5}{12}12\u22125\u200b<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution for (2): Numerator -75<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Now, we want to express \u22121536\\frac{-15}{36}36\u221215\u200b in a form where the numerator is -75.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 1: Set up the equation with the new numerator<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We are aiming for a fraction with a numerator of -75. We will start with the simplified form of the original fraction, which is \u2212512\\frac{-5}{12}12\u22125\u200b.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let the equivalent fraction be \u221275x\\frac{-75}{x}x\u221275\u200b.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 2: Solve for xxx using cross-multiplication<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We know that:\u2212512=\u221275x\\frac{-5}{12} = \\frac{-75}{x}12\u22125\u200b=x\u221275\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now, perform cross-multiplication:\u22125\u00d7x=\u221275\u00d712-5 \\times x = -75 \\times 12\u22125\u00d7x=\u221275\u00d712\u22125x=\u2212900-5x = -900\u22125x=\u2212900<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now, solve for xxx:x=\u2212900\u22125=180x = \\frac{-900}{-5} = 180x=\u22125\u2212900\u200b=180<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, the equivalent fraction with numerator -75 is <strong>\u221275180\\frac{-75}{180}180\u221275\u200b<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For a denominator of 12, the equivalent fraction is <strong>\u2212512\\frac{-5}{12}12\u22125\u200b<\/strong>.<\/li>\n\n\n\n<li>For a numerator of -75, the equivalent fraction is <strong>\u221275180\\frac{-75}{180}180\u221275\u200b<\/strong>.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-279.jpeg\" alt=\"\" class=\"wp-image-42252\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-279.jpeg 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-279-300x300.jpeg 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-279-150x150.jpeg 150w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-279-768x768.jpeg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>what is the equivalent rational number for -15\/36 with (1) denominator 12 (2) numerator -75 ?tell the answer The Correct Answer and Explanation is: Solution for (1): Denominator 12 We are given the fraction \u22121536\\frac{-15}{36}36\u221215\u200b and need to express it with a denominator of 12. Step 1: Simplify the original fraction \u22121536\\frac{-15}{36}36\u221215\u200b First, simplify \u22121536\\frac{-15}{36}36\u221215\u200b [&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-42251","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42251","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=42251"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42251\/revisions"}],"predecessor-version":[{"id":42253,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42251\/revisions\/42253"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=42251"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=42251"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=42251"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}