{"id":280155,"date":"2025-08-04T15:03:00","date_gmt":"2025-08-04T15:03:00","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=280155"},"modified":"2025-08-04T15:03:03","modified_gmt":"2025-08-04T15:03:03","slug":"which-fraction-is-equal-to-4-3-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/04\/which-fraction-is-equal-to-4-3-4\/","title":{"rendered":"Which fraction is equal to 4 3\/4"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/08\/image-399.png\" alt=\"\" class=\"wp-image-280156\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The correct answer is B) 19\/4.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The problem asks to convert the mixed number 4 3\/4 into an equivalent improper fraction. A mixed number is a value that consists of a whole number and a proper fraction. An improper fraction is a fraction in which the numerator, the top number, is greater than or equal to the denominator, the bottom number. The conversion from a mixed number to an improper fraction can be completed in a few straightforward steps.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">First, you need to multiply the whole number part of the mixed number by the denominator of the fractional part. In this problem, the whole number is 4 and the denominator is also 4. Multiplying these two numbers gives you 16. This step is essentially figuring out how many fractional pieces, in this case &#8216;fourths&#8217;, are contained within the four whole units. Since one whole unit is equal to 4\/4, four whole units are equivalent to 16\/4.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The second step is to take the result from the previous multiplication, which is 16, and add it to the numerator of the original fraction. The numerator in 4 3\/4 is 3. Adding 16 and 3 results in 19. This new number, 19, represents the total number of &#8216;fourths&#8217; when combining the whole number and the fraction. This value will become the numerator of your new improper fraction.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The final step is to place this new numerator over the original denominator. The denominator does not change because the size of the fractional unit, a fourth, remains constant throughout the conversion. Therefore, the improper fraction is 19\/4.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If we check the given options, we can confirm our result. Option A, 14\/4, is equal to 3 2\/4. Option C, 11\/4, is equal to 2 3\/4. Option D, 6\/4, is equal to 1 2\/4. Only option B, 19\/4, correctly represents the mixed number 4 3\/4.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/08\/learnexams-banner5-237.jpeg\" alt=\"\" class=\"wp-image-280157\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The correct answer is B) 19\/4. The problem asks to convert the mixed number 4 3\/4 into an equivalent improper fraction. A mixed number is a value that consists of a whole number and a proper fraction. An improper fraction is a fraction in which the numerator, the top [&hellip;]<\/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-280155","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/280155","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=280155"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/280155\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=280155"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=280155"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=280155"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}