What should Mrs. Cho do next? Find a common denominator for the two fractions. Divide the numerator and denominator of the first fraction by x2 and y. Multiply the numerators, multiply the denominators, and then simplify. Multiply the first fraction by the reciprocal of the second fraction.<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To find a common denominator and perform operations on two fractions, let\u2019s define the two fractions involved for clarity. We\u2019ll use ( \\frac{a}{b} ) and ( \\frac{c}{d} ) as placeholders.<\/p>\n\n\n\n Step 1: Finding a Common Denominator<\/strong><\/p>\n\n\n\n To add or subtract fractions, we first need a common denominator. The least common denominator (LCD) is typically the least common multiple (LCM) of the individual denominators. In our example, let\u2019s say ( b ) and ( d ) are the denominators. The common denominator will be ( \\text{LCD}(b, d) ).<\/p>\n\n\n\n Step 2: Dividing the Numerator and Denominator<\/strong><\/p>\n\n\n\n If the first fraction is ( \\frac{a}{b} ) and we want to divide its numerator and denominator by ( x^2 ) and ( y ), we would have:<\/p>\n\n\n\n [ This operation alters the fraction but preserves the overall value, allowing for easier manipulation later.<\/p>\n\n\n\n Step 3: Multiplying the Fractions<\/strong><\/p>\n\n\n\n If we are to multiply the first fraction ( \\frac{a}{b} ) by the reciprocal of the second fraction ( \\frac{c}{d} ), we first find the reciprocal of ( \\frac{c}{d} ), which is ( \\frac{d}{c} ). Thus, we have:<\/p>\n\n\n\n [ Step 4: Simplifying the Result<\/strong><\/p>\n\n\n\n After obtaining ( \\frac{a \\cdot d}{b \\cdot c} ), we can simplify this fraction by factoring out any common terms in the numerator and denominator, if possible.<\/p>\n\n\n\n Conclusion<\/strong><\/p>\n\n\n\n Following these steps ensures clarity and precision in fraction operations. Finding a common denominator facilitates addition or subtraction, while using reciprocals aids in multiplication and division. By simplifying the results, we can express the answer in its most straightforward form, which is essential in mathematics for clarity and effective communication of results.<\/p>\n","protected":false},"excerpt":{"rendered":" What should Mrs. Cho do next? Find a common denominator for the two fractions. Divide the numerator and denominator of the first fraction by x2 and y. Multiply the numerators, multiply the denominators, and then simplify. Multiply the first fraction by the reciprocal of the second fraction. The Correct Answer and Explanation is : To […]<\/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-144120","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144120","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=144120"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144120\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=144120"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=144120"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=144120"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\\frac{a \\div (x^2)}{b \\div y} = \\frac{a}{b} \\cdot \\frac{y}{x^2}
]<\/p>\n\n\n\n
\\frac{a}{b} \\cdot \\frac{d}{c} = \\frac{a \\cdot d}{b \\cdot c}
]<\/p>\n\n\n\n