Multiply: 39\/54 x 6\/13, reduced to lowest terms =<\/p>\n\n\n\n
A.
45\/67<\/p>\n\n\n\n
B.
234\/702<\/p>\n\n\n\n
C.
3\/9<\/p>\n\n\n\n
D.
1\/3<\/p>\n\n\n\n
The correct answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To solve ( \\frac{39}{54} \\times \\frac{6}{13} ), follow these steps:<\/p>\n\n\n\n Multiply the numerators of the two fractions: Multiply the denominators of the two fractions: Now, we have: We need to reduce ( \\frac{234}{702} ) to its lowest terms. To do that, find the greatest common divisor (GCD) of 234 and 702.<\/p>\n\n\n\n The greatest common factor is 234.<\/p>\n\n\n\n [ So, the simplified answer is: When multiplying fractions, the rule is to multiply the numerators together and then multiply the denominators together. After obtaining the result, you should always check if the fraction can be simplified by finding the GCD of the numerator and denominator. In this case, the GCD of 234 and 702 is 234, so dividing both by 234 gives the simplified fraction ( \\frac{1}{3} ).<\/p>\n\n\n\n Thus, the correct answer is ( \\frac{1}{3} ), which corresponds to option D<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":" Multiply: 39\/54 x 6\/13, reduced to lowest terms = A.45\/67 B.234\/702 C.3\/9 D.1\/3 The correct answer and Explanation is : To solve ( \\frac{39}{54} \\times \\frac{6}{13} ), follow these steps: Step 1: Multiply the numerators Multiply the numerators of the two fractions:[39 \\times 6 = 234] Step 2: Multiply the denominators Multiply the denominators of […]<\/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-138454","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/138454","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=138454"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/138454\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=138454"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=138454"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=138454"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Multiply the numerators<\/h3>\n\n\n\n
[
39 \\times 6 = 234
]<\/p>\n\n\n\nStep 2: Multiply the denominators<\/h3>\n\n\n\n
[
54 \\times 13 = 702
]<\/p>\n\n\n\n
[
\\frac{234}{702}
]<\/p>\n\n\n\nStep 3: Simplify the fraction<\/h3>\n\n\n\n
\n
Step 4: Divide both the numerator and the denominator by their GCD<\/h3>\n\n\n\n
\\frac{234 \\div 234}{702 \\div 234} = \\frac{1}{3}
]<\/p>\n\n\n\n
[
\\boxed{\\frac{1}{3}}
]<\/p>\n\n\n\nExplanation:<\/h3>\n\n\n\n