{"id":42247,"date":"2025-06-28T17:37:40","date_gmt":"2025-06-28T17:37:40","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=42247"},"modified":"2025-06-28T17:37:41","modified_gmt":"2025-06-28T17:37:41","slug":"what-the-equivalent-rational-number-for-15-36-denominator-12-numerator-75","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-the-equivalent-rational-number-for-15-36-denominator-12-numerator-75\/","title":{"rendered":"What the equivalent rational number for -15\/36 denominator 12 numerator -75"},"content":{"rendered":"\n

What the equivalent rational number for -15\/36 denominator 12 numerator -75<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To find the equivalent rational number for \u22121536-\\frac{15}{36}\u22123615\u200b with the denominator as 12 and numerator as -75, we need to follow these steps:<\/p>\n\n\n\n

Step 1: Simplify the Original Fraction \u22121536-\\frac{15}{36}\u22123615\u200b<\/h3>\n\n\n\n

Start by simplifying the fraction \u22121536-\\frac{15}{36}\u22123615\u200b. Both 15 and 36 have common factors that can be divided to simplify the fraction. The greatest common divisor (GCD) of 15 and 36 is 3.<\/p>\n\n\n\n

Now, divide both the numerator and the denominator by 3:\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

So, the simplified form of \u22121536-\\frac{15}{36}\u22123615\u200b is \u2212512-\\frac{5}{12}\u2212125\u200b.<\/p>\n\n\n\n

Step 2: Compare to the New Fraction \u22127512\\frac{-75}{12}12\u221275\u200b<\/h3>\n\n\n\n

Now, we are asked to express the same fraction with a denominator of 12 and a numerator of -75. We need to check if the simplified form of \u2212512-\\frac{5}{12}\u2212125\u200b can match \u22127512\\frac{-75}{12}12\u221275\u200b.<\/p>\n\n\n\n

Since both fractions have the same denominator (12), the key step here is to check if the numerators are equivalent. Let’s compare the numerators:\u22125 and \u221275-5 \\text{ and } -75\u22125 and \u221275<\/p>\n\n\n\n

To get \u221275-75\u221275 from \u22125-5\u22125, we multiply the numerator \u22125-5\u22125 by 15:\u22125\u00d715=\u221275-5 \\times 15 = -75\u22125\u00d715=\u221275<\/p>\n\n\n\n

Thus, \u2212512-\\frac{5}{12}\u2212125\u200b is equivalent to \u22127512\\frac{-75}{12}12\u221275\u200b.<\/p>\n\n\n\n

Step 3: Conclusion<\/h3>\n\n\n\n

Therefore, the fraction \u22121536-\\frac{15}{36}\u22123615\u200b simplifies to \u2212512-\\frac{5}{12}\u2212125\u200b, which is equivalent to \u22127512\\frac{-75}{12}12\u221275\u200b. Both expressions represent the same rational number.<\/p>\n\n\n\n

In summary, to express \u22121536-\\frac{15}{36}\u22123615\u200b with a numerator of \u221275-75\u221275 and denominator 12, the equivalent rational number is \u22127512\\frac{-75}{12}12\u221275\u200b, which was derived by scaling the simplified form of \u2212512-\\frac{5}{12}\u2212125\u200b by a factor of 15.<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

What the equivalent rational number for -15\/36 denominator 12 numerator -75 The Correct Answer and Explanation is: To find the equivalent rational number for \u22121536-\\frac{15}{36}\u22123615\u200b with the denominator as 12 and numerator as -75, we need to follow these steps: Step 1: Simplify the Original Fraction \u22121536-\\frac{15}{36}\u22123615\u200b Start by simplifying the fraction \u22121536-\\frac{15}{36}\u22123615\u200b. Both 15 […]<\/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-42247","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42247","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=42247"}],"version-history":[{"count":2,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42247\/revisions"}],"predecessor-version":[{"id":42250,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42247\/revisions\/42250"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=42247"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=42247"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=42247"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}