{"id":231394,"date":"2025-06-11T04:11:55","date_gmt":"2025-06-11T04:11:55","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=231394"},"modified":"2025-06-11T04:11:58","modified_gmt":"2025-06-11T04:11:58","slug":"select-all-statements-that-show-correct-reasoning-for-finding-15-divided-2-9-multiple-answers","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/11\/select-all-statements-that-show-correct-reasoning-for-finding-15-divided-2-9-multiple-answers\/","title":{"rendered":"Select all statements that show correct reasoning for finding 15 divided 2\/9 (multiple answers)"},"content":{"rendered":"\n

Select all statements that show correct reasoning for finding 15 divided 2\/9 (multiple answers) A. Multiply 15 by 2, then divide by 9. B. Multiply 15 by 9, then divide by 2. C. Multiply 15 by , then multiply by 2. D. D. Multiply 15 by 9, then multiply by 1\/2<\/p>\n\n\n\n

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

Correct Answers:<\/strong> B and D<\/p>\n\n\n\n

Explanation<\/h3>\n\n\n\n

To find the solution for 15 divided by 2\/9, it is essential to understand the principle of dividing by a fraction. Division by a fraction is equivalent to multiplication by that fraction’s reciprocal. The reciprocal of a fraction is found by inverting it, meaning the numerator and the denominator switch places.<\/p>\n\n\n\n

First, identify the components of the problem: the dividend is 15, and the divisor is the fraction 2\/9.<\/p>\n\n\n\n

The initial step is to find the reciprocal of the divisor, 2\/9. By inverting the fraction, the reciprocal is 9\/2.<\/p>\n\n\n\n

Next, the division operation (\u00f7) is replaced with a multiplication operation (\u00d7), using the reciprocal. Therefore, the original expression 15 \u00f7 2\/9 is transformed into the equivalent expression 15 \u00d7 9\/2.<\/p>\n\n\n\n

Now, we can evaluate the new expression, 15 \u00d7 9\/2. To multiply a whole number by a fraction, the whole number is multiplied by the numerator, and the result becomes the new numerator, while the denominator remains the same.
This gives us: (15 \u00d7 9) \/ 2.<\/p>\n\n\n\n

This process directly corresponds to statement B: Multiply 15 by 9, then divide by 2.<\/strong> This is a correct method for solving the problem.<\/p>\n\n\n\n

Furthermore, it is important to recognize that dividing by a number is the same as multiplying by its multiplicative inverse (or reciprocal). Dividing by 2 is mathematically identical to multiplying by 1\/2. Applying this concept, the expression (15 \u00d7 9) \/ 2 can be rewritten as (15 \u00d7 9) \u00d7 1\/2.<\/p>\n\n\n\n

This interpretation matches statement D: Multiply 15 by 9, then multiply by 1\/2.<\/strong> This also represents a correct sequence of operations.<\/p>\n\n\n\n

Statement A is incorrect because it mistakenly multiplies by the numerator (2) and divides by the denominator (9), failing to use the reciprocal. Statement C is incomplete and does not represent a valid mathematical operation.thumb_upthumb_down<\/p>\n\n\n\n

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

Select all statements that show correct reasoning for finding 15 divided 2\/9 (multiple answers) A. Multiply 15 by 2, then divide by 9. B. Multiply 15 by 9, then divide by 2. C. Multiply 15 by , then multiply by 2. D. D. Multiply 15 by 9, then multiply by 1\/2 The Correct Answer and […]<\/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-231394","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/231394","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=231394"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/231394\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=231394"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=231394"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=231394"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}