{"id":273808,"date":"2025-07-27T21:32:32","date_gmt":"2025-07-27T21:32:32","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=273808"},"modified":"2025-07-27T21:32:34","modified_gmt":"2025-07-27T21:32:34","slug":"27-5-0-25-a-43-_5-21-_3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/27\/27-5-0-25-a-43-_5-21-_3\/","title":{"rendered":"-27.5\/0.25= A. -4^3\/_5\/-2^1\/_3="},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

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

Of course. Here are the correct answers and a detailed explanation for each problem.<\/p>\n\n\n\n

Correct Answers:<\/strong>
3. -110
4. 1 34\/35 (or as an improper fraction, 69\/35)<\/p>\n\n\n\n

\n\n\n\n

Explanation of Problem 3: -27.5 \/ 0.25<\/strong><\/h3>\n\n\n\n

The goal is to divide a negative decimal by a positive decimal. The first rule to remember is that a negative number divided by a positive number will always result in a negative answer.<\/p>\n\n\n\n

To make the division easier, we can eliminate the decimal in the divisor (0.25). We do this by multiplying both numbers by a power of 10 that turns 0.25 into a whole number. Since 0.25 has two decimal places, we multiply both parts of the problem by 100.<\/p>\n\n\n\n

-27.5 * 100 = -2750
0.25 * 100 = 25<\/p>\n\n\n\n

The problem is now transformed into a simpler one: -2750 \/ 25.<\/p>\n\n\n\n

We can solve this using division. We know that 100 divided by 25 is 4. Therefore, 2700 divided by 25 would be (27 * 4), which is 108. With 50 remaining (2750 – 2700), we divide 50 by 25, which gives us 2. Adding these results, 108 + 2 = 110. Since our original problem involved a negative number, the final answer is -110<\/strong>.<\/p>\n\n\n\n

Explanation of Problem 4: -4 3\/5 \/ -2 1\/3<\/strong><\/h3>\n\n\n\n

This problem involves dividing two negative mixed numbers. The first rule here is that a negative number divided by another negative number results in a positive answer. So, we know our final result will be positive.<\/p>\n\n\n\n

To divide mixed numbers, you must first convert them into improper fractions.<\/p>\n\n\n\n

    \n
  1. Convert -4 3\/5:<\/strong>\u00a0Multiply the whole number (4) by the denominator (5) and add the numerator (3). This gives 20 + 3 = 23. Keep the same denominator. So, -4 3\/5 becomes -23\/5.<\/li>\n\n\n\n
  2. Convert -2 1\/3:<\/strong>\u00a0Multiply the whole number (2) by the denominator (3) and add the numerator (1). This gives 6 + 1 = 7. Keep the same denominator. So, -2 1\/3 becomes -7\/3.<\/li>\n<\/ol>\n\n\n\n

    Our new problem is (-23\/5) \/ (-7\/3).<\/p>\n\n\n\n

    To divide fractions, we multiply the first fraction by the reciprocal (the flipped version) of the second fraction.<\/p>\n\n\n\n

    (-23\/5) * (-3\/7)<\/p>\n\n\n\n

    Now, multiply the numerators together and the denominators together.
    Numerators: -23 * -3 = 69 (a negative times a negative is a positive).
    Denominators: 5 * 7 = 35.<\/p>\n\n\n\n

    The result is the improper fraction 69\/35. To convert this back to a mixed number, divide 69 by 35. It goes in 1 time with a remainder of 34 (69 – 35 = 34). Thus, the answer is 1 34\/35<\/strong>.<\/p>\n\n\n\n

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

    The Correct Answer and Explanation is: Of course. Here are the correct answers and a detailed explanation for each problem. Correct Answers:3. -1104. 1 34\/35 (or as an improper fraction, 69\/35) Explanation of Problem 3: -27.5 \/ 0.25 The goal is to divide a negative decimal by a positive decimal. The first rule to remember […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-273808","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/273808","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=273808"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/273808\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=273808"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=273808"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=273808"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}