Convert the improper fraction 35\/8 into a mixed number<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To convert the improper fraction ( \\frac{35}{8} ) into a mixed number, we will follow a straightforward process that involves division and understanding of fractions.<\/p>\n\n\n\n The improper fraction ( \\frac{35}{8} ) is converted into the mixed number ( 4 \\frac{3}{8} ). This process of dividing the numerator by the denominator and organizing the result into a whole number and a proper fraction is essential when converting improper fractions into mixed numbers. It allows for clearer understanding and easier visualization of the value represented by the fraction.<\/p>\n","protected":false},"excerpt":{"rendered":" Convert the improper fraction 35\/8 into a mixed number The Correct Answer and Explanation is: To convert the improper fraction ( \\frac{35}{8} ) into a mixed number, we will follow a straightforward process that involves division and understanding of fractions. Steps for Conversion: Conclusion: The improper fraction ( \\frac{35}{8} ) is converted into the 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-158608","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/158608","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=158608"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/158608\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=158608"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=158608"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=158608"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Steps for Conversion:<\/h3>\n\n\n\n
\n
We start by dividing 35 by 8. This can be done either by long division or simple division. When you divide ( 35 ) by ( 8 ), the quotient is ( 4 ) and the remainder is ( 3 ) because:
[
35 \\div 8 = 4 \\quad \\text{(since ( 8 \\times 4 = 32 ))}
]
The difference between 35 and 32 gives us a remainder of ( 3 ):
[
35 – 32 = 3
]<\/li>\n\n\n\n
A mixed number consists of a whole number and a proper fraction. From our division, we found that the quotient is ( 4 ) (this represents the whole number part), and the remainder ( 3 ) is placed over the original denominator ( 8 ) (which represents the fractional part). Therefore, we can express ( \\frac{35}{8} ) as:
[
4 \\frac{3}{8}
]
This tells us that ( \\frac{35}{8} ) can be represented as four whole parts and three-eighths of another part.<\/li>\n\n\n\n
To verify our conversion, we can convert the mixed number back to an improper fraction:
[
4 \\frac{3}{8} = 4 + \\frac{3}{8} = \\frac{32}{8} + \\frac{3}{8} = \\frac{32 + 3}{8} = \\frac{35}{8}
]
This confirms that our conversion is correct.<\/li>\n<\/ol>\n\n\n\nConclusion:<\/h3>\n\n\n\n