{"id":273866,"date":"2025-07-27T22:43:07","date_gmt":"2025-07-27T22:43:07","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=273866"},"modified":"2025-07-27T22:43:09","modified_gmt":"2025-07-27T22:43:09","slug":"27-5-0-25-a-43-_5-21-_3-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/27\/27-5-0-25-a-43-_5-21-_3-2\/","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 69\/35)<\/p>\n\n\n\n

Detailed Explanation:<\/strong><\/p>\n\n\n\n

Problem 3: -27.5 \/ 0.25<\/strong><\/p>\n\n\n\n

The final answer is -110<\/strong>.<\/p>\n\n\n\n

To solve this division problem, we first determine the sign of the answer. A negative number divided by a positive number will always result in a negative number.<\/p>\n\n\n\n

Next, we can solve the calculation 27.5 \/ 0.25. One of the simplest methods is to recognize that the decimal 0.25 is equivalent to the fraction 1\/4. Dividing a number by 1\/4 is the same as multiplying that number by 4. Therefore, the problem can be rewritten as 27.5 multiplied by 4.<\/p>\n\n\n\n

27.5 * 4 = 110.<\/p>\n\n\n\n

Combining this with our sign rule, the final answer is -110.<\/p>\n\n\n\n

Alternatively, we can solve this by eliminating the decimals. To turn the divisor 0.25 into a whole number, we multiply it by 100, which gives us 25. To keep the equation balanced, we must also multiply the dividend, -27.5, by 100. This gives us -2750. The new problem is -2750 \/ 25, which equals -110.<\/p>\n\n\n\n

Problem 4: -4 3\/5 \/ -2 1\/3<\/strong><\/p>\n\n\n\n

The final answer is 1 34\/35<\/strong>.<\/p>\n\n\n\n

First, let’s address the signs. When a negative number is divided by another negative number, the result is always positive. So, our final answer will be positive.<\/p>\n\n\n\n

To divide mixed numbers, we must first convert them into improper fractions.
For 4 3\/5, we multiply the whole number by the denominator and add the numerator: (4 * 5) + 3 = 23. The improper fraction is 23\/5.
For 2 1\/3, we do the same: (2 * 3) + 1 = 7. The improper fraction is 7\/3.<\/p>\n\n\n\n

The problem is now (23\/5) \/ (7\/3).<\/p>\n\n\n\n

To divide fractions, we multiply the first fraction by the reciprocal of the second. This means we flip the second fraction upside down. The calculation becomes:
(23\/5) * (3\/7)<\/p>\n\n\n\n

Now, we multiply the numerators together and the denominators together:
Numerator: 23 * 3 = 69
Denominator: 5 * 7 = 35<\/p>\n\n\n\n

The result is the improper fraction 69\/35. To express this as a mixed number, we divide 69 by 35. It goes in 1 time with a remainder of 34 (since 69 – 35 = 34). The final mixed number is 1 34\/35.<\/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 69\/35) Detailed Explanation: Problem 3: -27.5 \/ 0.25 The final answer is -110. To solve this division problem, we first determine the sign of the answer. A negative number divided […]<\/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-273866","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/273866","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=273866"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/273866\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=273866"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=273866"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=273866"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}