Write an equation for the situation: A fraction f multiplied by 4 equals 1\/2. Please provide the equation.<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/strong><\/p>\n\n\n\n For this problem, the situation can be translated into the equation:<\/p>\n\n\n\n [ To solve for ( f ), we need to isolate ( f ) on one side of the equation. We can do this by dividing both sides by 4. This step effectively “undoes” the multiplication by 4.<\/p>\n\n\n\n [ When dividing a fraction, we multiply by the reciprocal of the divisor. Therefore, dividing by 4 is the same as multiplying by ( \\frac{1}{4} ):<\/p>\n\n\n\n [ So, the correct answer is:<\/p>\n\n\n\n [ The given problem describes a relationship where a fraction ( f ) multiplied by 4 results in ( \\frac{1}{2} ). To translate this scenario into an equation, we use the phrase “multiplied by 4,” which tells us to place ( f ) in a multiplication expression with 4, resulting in ( 4 \\times f ). This multiplication equals ( \\frac{1}{2} ), so the equation becomes ( 4 \\times f = \\frac{1}{2} ).<\/p>\n\n\n\n Next, to solve for ( f ), we need to isolate it by removing the multiplication by 4. To “undo” multiplication, we use division. Dividing both sides by 4 is equivalent to multiplying ( \\frac{1}{2} ) by the reciprocal of 4, which is ( \\frac{1}{4} ). Therefore, ( \\frac{1}{2} \\div 4 ) becomes ( \\frac{1}{2} \\times \\frac{1}{4} ).<\/p>\n\n\n\n To multiply fractions, we multiply the numerators and the denominators:<\/p>\n\n\n\n [ This gives us ( f = \\frac{1}{8} ), meaning the fraction ( f ) that, when multiplied by 4, results in ( \\frac{1}{2} ) is indeed ( \\frac{1}{8} ).<\/p>\n","protected":false},"excerpt":{"rendered":" Write an equation for the situation: A fraction f multiplied by 4 equals 1\/2. Please provide the equation. The Correct Answer and Explanation is: For this problem, the situation can be translated into the equation: [4 \\times f = \\frac{1}{2}] To solve for ( f ), we need to isolate ( f ) on one […]<\/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-158572","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/158572","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=158572"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/158572\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=158572"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=158572"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=158572"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
4 \\times f = \\frac{1}{2}
]<\/p>\n\n\n\n
f = \\frac{1}{2} \\div 4
]<\/p>\n\n\n\n
f = \\frac{1}{2} \\times \\frac{1}{4} = \\frac{1}{8}
]<\/p>\n\n\n\n
f = \\frac{1}{8}
]<\/p>\n\n\n\nExplanation<\/h3>\n\n\n\n
\\frac{1 \\times 1}{2 \\times 4} = \\frac{1}{8}
]<\/p>\n\n\n\n