Simplify 3 1\/2 x 3 1\/2<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To simplify ( 3 \\frac{1}{2} \\times 3 \\frac{1}{2} ), follow these steps:<\/p>\n\n\n\n Thus, the result of ( 3 \\frac{1}{2} \\times 3 \\frac{1}{2} ) is ( 12 \\frac{1}{4} ).<\/p>\n\n\n\n When multiplying mixed numbers, converting them to improper fractions simplifies the process. Mixed numbers can be cumbersome to work with directly. By transforming ( 3 \\frac{1}{2} ) into an improper fraction ( \\frac{7}{2} ), you can focus solely on the multiplication of fractions, which follows the straightforward rule of multiplying the numerators and denominators separately.<\/p>\n\n\n\n In this case, after the conversion, we have: The next step is crucial: converting the result back into a mixed number for clarity and ease of interpretation. This final transformation allows us to communicate the answer in a more digestible form, particularly useful in everyday contexts, such as cooking or construction, where measurements are often expressed as mixed numbers. The final result ( 12 \\frac{1}{4} ) clearly indicates the quantity without the complications of improper fractions.<\/p>\n","protected":false},"excerpt":{"rendered":" Simplify 3 1\/2 x 3 1\/2 The Correct Answer and Explanation is : To simplify ( 3 \\frac{1}{2} \\times 3 \\frac{1}{2} ), follow these steps: Thus, the result of ( 3 \\frac{1}{2} \\times 3 \\frac{1}{2} ) is ( 12 \\frac{1}{4} ). Explanation When multiplying mixed numbers, converting them to improper fractions simplifies the process. Mixed […]<\/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-145707","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145707","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=145707"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145707\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=145707"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=145707"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=145707"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
A mixed number consists of a whole number and a fraction. To convert ( 3 \\frac{1}{2} ) to an improper fraction:
[
3 \\frac{1}{2} = 3 \\times 2 + 1 = 6 + 1 = 7
]
Thus, ( 3 \\frac{1}{2} = \\frac{7}{2} ).<\/li>\n\n\n\n
Now that we have both numbers as improper fractions, we can multiply them:
[
\\frac{7}{2} \\times \\frac{7}{2} = \\frac{7 \\times 7}{2 \\times 2} = \\frac{49}{4}
]<\/li>\n\n\n\n
To express ( \\frac{49}{4} ) as a mixed number, divide the numerator by the denominator:
[
49 \\div 4 = 12 \\quad \\text{with a remainder of } 1.
]
This can be expressed as:
[
12 \\frac{1}{4}.
]<\/li>\n<\/ol>\n\n\n\nExplanation<\/h3>\n\n\n\n
[
\\frac{7}{2} \\times \\frac{7}{2} = \\frac{49}{4}.
]<\/p>\n\n\n\n