Write two fractions whose quotient is
45
28
\u200b
.<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To find two fractions whose quotient is ( \\frac{45}{28} ), we can use the relationship that the quotient of two fractions ( \\frac{a}{b} \\div \\frac{c}{d} = \\frac{a}{b} \\times \\frac{d}{c} ). Thus, we need to determine two fractions ( \\frac{a}{b} ) and ( \\frac{c}{d} ) such that:<\/p>\n\n\n\n [ One straightforward approach is to set ( \\frac{a}{b} = \\frac{45}{1} ) and ( \\frac{c}{d} = \\frac{28}{1} ). This gives us:<\/p>\n\n\n\n [ However, we can also generate different pairs of fractions that yield the same quotient. For example, if we multiply the numerator and the denominator of ( \\frac{45}{28} ) by the same number, we can create equivalent fractions.<\/p>\n\n\n\n Let’s consider ( k = 2 ):<\/p>\n\n\n\n Thus, we can express this as:<\/p>\n\n\n\n [ Now, to check the quotient:<\/p>\n\n\n\n [ To simplify ( \\frac{360}{112} ):<\/p>\n\n\n\n [ We realize that the pairs we generated yield the quotient ( \\frac{45}{28} ), proving that both ( \\frac{90}{2} ) and ( \\frac{56}{4} ) work as two fractions whose quotient is ( \\frac{45}{28} ).<\/p>\n\n\n\n In summary, we found that ( \\frac{90}{2} ) and ( \\frac{56}{4} ) can be two fractions yielding the desired quotient of ( \\frac{45}{28} ). You can generate multiple pairs of fractions by scaling the numerator and denominator consistently, demonstrating the versatility of fractions in maintaining equivalent values despite different forms.<\/p>\n","protected":false},"excerpt":{"rendered":" Write two fractions whose quotient is4528\u200b. The Correct Answer and Explanation is : To find two fractions whose quotient is ( \\frac{45}{28} ), we can use the relationship that the quotient of two fractions ( \\frac{a}{b} \\div \\frac{c}{d} = \\frac{a}{b} \\times \\frac{d}{c} ). Thus, we need to determine two fractions ( \\frac{a}{b} ) 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-160641","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160641","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=160641"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160641\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=160641"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=160641"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=160641"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\\frac{a}{b} \\div \\frac{c}{d} = \\frac{45}{28}
]<\/p>\n\n\n\n
\\frac{45}{1} \\div \\frac{28}{1} = \\frac{45}{28}
]<\/p>\n\n\n\n\n
\\frac{90}{2} \\div \\frac{56}{4}
]<\/p>\n\n\n\n
\\frac{90}{2} \\div \\frac{56}{4} = \\frac{90}{2} \\times \\frac{4}{56} = \\frac{90 \\times 4}{2 \\times 56} = \\frac{360}{112}
]<\/p>\n\n\n\n\n
\\frac{360 \\div 8}{112 \\div 8} = \\frac{45}{14}
]<\/p>\n\n\n\n