{"id":242944,"date":"2025-07-04T10:28:10","date_gmt":"2025-07-04T10:28:10","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=242944"},"modified":"2025-07-04T10:28:12","modified_gmt":"2025-07-04T10:28:12","slug":"subtract-the-additive-inverse-of-5-6-from-the-multiplicative-inverse-of-5-7-multiply-14-15","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/04\/subtract-the-additive-inverse-of-5-6-from-the-multiplicative-inverse-of-5-7-multiply-14-15\/","title":{"rendered":"subtract the additive inverse of 5\/6 from the multiplicative inverse of -5\/7 multiply 14\/15"},"content":{"rendered":"\n

subtract the additive inverse of 5\/6 from the multiplicative inverse of -5\/7 multiply 14\/15<\/p>\n\n\n\n

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

Let’s break this problem down into smaller steps:<\/p>\n\n\n\n

Step 1: Find the additive inverse of 5\/6.<\/h3>\n\n\n\n

The additive inverse of a number is the opposite of that number. So, the additive inverse of 5\/6<\/strong> is -5\/6<\/strong>.<\/p>\n\n\n\n

Step 2: Find the multiplicative inverse of -5\/7.<\/h3>\n\n\n\n

The multiplicative inverse of a number is its reciprocal, meaning you flip the numerator and denominator. Therefore, the multiplicative inverse of -5\/7<\/strong> is -7\/5<\/strong>.<\/p>\n\n\n\n

Step 3: Subtract the additive inverse of 5\/6 from the multiplicative inverse of -5\/7.<\/h3>\n\n\n\n

Now, we subtract -5\/6<\/strong> from -7\/5<\/strong>:(\u221275)\u2212(\u221256)=\u221275+56\\left(-\\frac{7}{5}\\right) – \\left(-\\frac{5}{6}\\right) = -\\frac{7}{5} + \\frac{5}{6}(\u221257\u200b)\u2212(\u221265\u200b)=\u221257\u200b+65\u200b<\/p>\n\n\n\n

To perform this addition, we need a common denominator. The least common denominator (LCD) of 5 and 6 is 30. We convert both fractions to have 30 as the denominator:\u221275=\u22124230,56=2530-\\frac{7}{5} = -\\frac{42}{30}, \\quad \\frac{5}{6} = \\frac{25}{30}\u221257\u200b=\u22123042\u200b,65\u200b=3025\u200b<\/p>\n\n\n\n

Now, we add them:\u22124230+2530=\u221242+2530=\u22121730-\\frac{42}{30} + \\frac{25}{30} = \\frac{-42 + 25}{30} = \\frac{-17}{30}\u22123042\u200b+3025\u200b=30\u221242+25\u200b=30\u221217\u200b<\/p>\n\n\n\n

Step 4: Multiply the result by 14\/15.<\/h3>\n\n\n\n

Next, we multiply the result -17\/30<\/strong> by 14\/15<\/strong>:\u22121730\u00d71415=\u221217\u00d71430\u00d715=\u2212238450\\frac{-17}{30} \\times \\frac{14}{15} = \\frac{-17 \\times 14}{30 \\times 15} = \\frac{-238}{450}30\u221217\u200b\u00d71514\u200b=30\u00d715\u221217\u00d714\u200b=450\u2212238\u200b<\/p>\n\n\n\n

Simplify this fraction by finding the greatest common divisor (GCD) of 238 and 450, which is 2:\u2212238450=\u2212119225\\frac{-238}{450} = \\frac{-119}{225}450\u2212238\u200b=225\u2212119\u200b<\/p>\n\n\n\n

Final Answer:<\/h3>\n\n\n\n

The final result is -119\/225<\/strong>.<\/p>\n\n\n\n

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

subtract the additive inverse of 5\/6 from the multiplicative inverse of -5\/7 multiply 14\/15 The Correct Answer and Explanation is: Let’s break this problem down into smaller steps: Step 1: Find the additive inverse of 5\/6. The additive inverse of a number is the opposite of that number. So, the additive inverse of 5\/6 is […]<\/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-242944","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242944","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=242944"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242944\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=242944"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=242944"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=242944"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}