Find 2\/5(-3.75). Write your answer as a mixed number in simplest form.<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To find the result of ( \\frac{2}{5} \\times (-3.75) ) and express the answer as a mixed number in its simplest form, let’s follow these steps:<\/p>\n\n\n\n First, we need to express the decimal -3.75 as a fraction.<\/p>\n\n\n\n Now that we have ( \\frac{2}{5} ) and ( -\\frac{15}{4} ), we can multiply these two fractions:<\/p>\n\n\n\n [ Next, we simplify ( \\frac{-30}{20} ). To do this, we divide both the numerator and denominator by their GCD, which is 10:<\/p>\n\n\n\n [ The fraction ( \\frac{-3}{2} ) is an improper fraction. To convert it to a mixed number, divide 3 by 2:<\/p>\n\n\n\n [ Thus, ( \\frac{3}{2} = 1 \\frac{1}{2} ). Since the original fraction was negative, the mixed number is:<\/p>\n\n\n\n [ The result of ( \\frac{2}{5} \\times (-3.75) ) is ( \\boxed{-1 \\frac{1}{2}} ).<\/p>\n\n\n\n In this problem, we first converted the decimal -3.75 into a fraction, then multiplied it by ( \\frac{2}{5} ), followed by simplifying the product to ( \\frac{-3}{2} ). Finally, we converted the improper fraction into a mixed number and expressed the final result as ( -1 \\frac{1}{2} ), which is the simplest form of the answer.<\/p>\n","protected":false},"excerpt":{"rendered":" Find 2\/5(-3.75). Write your answer as a mixed number in simplest form. The Correct Answer and Explanation is: To find the result of ( \\frac{2}{5} \\times (-3.75) ) and express the answer as a mixed number in its simplest form, let’s follow these steps: Step 1: Convert -3.75 to a Fraction First, we need 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-168273","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168273","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=168273"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168273\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168273"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168273"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168273"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Convert -3.75 to a Fraction<\/h3>\n\n\n\n
\n
[
-3.75 = -\\frac{375}{100}
]<\/li>\n\n\n\n
[
\\frac{375 \\div 25}{100 \\div 25} = \\frac{15}{4}
]
Thus, ( -3.75 = -\\frac{15}{4} ).<\/li>\n<\/ul>\n\n\n\nStep 2: Multiply Fractions<\/h3>\n\n\n\n
\\frac{2}{5} \\times \\left(-\\frac{15}{4}\\right) = \\frac{2 \\times -15}{5 \\times 4} = \\frac{-30}{20}
]<\/p>\n\n\n\nStep 3: Simplify the Fraction<\/h3>\n\n\n\n
\\frac{-30 \\div 10}{20 \\div 10} = \\frac{-3}{2}
]<\/p>\n\n\n\nStep 4: Convert the Fraction to a Mixed Number<\/h3>\n\n\n\n
3 \\div 2 = 1 \\text{ with a remainder of } 1
]<\/p>\n\n\n\n
-1 \\frac{1}{2}
]<\/p>\n\n\n\nFinal Answer:<\/h3>\n\n\n\n
Explanation:<\/h3>\n\n\n\n