1.333333333333333 as a simplified fraction<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The number (1.333333333333333) can be expressed as a simplified fraction. To do this, we first recognize that the repeating decimal (1.333\u2026) can be rewritten as:<\/p>\n\n\n\n [ Next, we need to convert the repeating decimal (0.333\u2026) into a fraction. Let’s denote (x = 0.333\u2026).<\/p>\n\n\n\n To eliminate the repeating decimal, we can multiply both sides of this equation by 10:<\/p>\n\n\n\n [ Now, we have two equations:<\/p>\n\n\n\n Next, we can subtract the first equation from the second:<\/p>\n\n\n\n [ This simplifies to:<\/p>\n\n\n\n [ Dividing both sides by 9 gives:<\/p>\n\n\n\n [ We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:<\/p>\n\n\n\n [ Now that we have (0.333\u2026 = \\frac{1}{3}), we can substitute this back into our earlier expression for (1.333\u2026):<\/p>\n\n\n\n [ To combine these, we express (1) as a fraction with the same denominator as (\\frac{1}{3}):<\/p>\n\n\n\n [ Now, we can add the two fractions:<\/p>\n\n\n\n [ Thus, the decimal (1.333333333333333) can be expressed as the simplified fraction (\\frac{4}{3}).<\/p>\n\n\n\n In summary, by recognizing the repeating decimal, converting it into a fraction, and performing basic arithmetic operations, we arrive at the simplified fraction representation of the original decimal.<\/p>\n","protected":false},"excerpt":{"rendered":" 1.333333333333333 as a simplified fraction The Correct Answer and Explanation is : The number (1.333333333333333) can be expressed as a simplified fraction. To do this, we first recognize that the repeating decimal (1.333\u2026) can be rewritten as: [1.333\u2026 = 1 + 0.333\u2026] Next, we need to convert the repeating decimal (0.333\u2026) into a fraction. Let’s […]<\/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-147302","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/147302","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=147302"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/147302\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=147302"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=147302"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=147302"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
1.333\u2026 = 1 + 0.333\u2026
]<\/p>\n\n\n\n
10x = 3.333\u2026
]<\/p>\n\n\n\n\n
10x – x = 3.333\u2026 – 0.333\u2026
]<\/p>\n\n\n\n
9x = 3
]<\/p>\n\n\n\n
x = \\frac{3}{9}
]<\/p>\n\n\n\n
x = \\frac{1}{3}
]<\/p>\n\n\n\n
1.333\u2026 = 1 + 0.333\u2026 = 1 + \\frac{1}{3}
]<\/p>\n\n\n\n
1 = \\frac{3}{3}
]<\/p>\n\n\n\n
1.333\u2026 = \\frac{3}{3} + \\frac{1}{3} = \\frac{3 + 1}{3} = \\frac{4}{3}
]<\/p>\n\n\n\n