What is 12.8 converted to a fraction? the answer should be given in simplest form.<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To convert the decimal 12.8 to a fraction in its simplest form, follow these steps:<\/p>\n\n\n\n The number 12.8 consists of a whole number part (12) and a decimal part (0.8). We can express 12.8 as:<\/p>\n\n\n\n [ Next, we focus on converting 0.8 into a fraction. The decimal 0.8 can be represented as:<\/p>\n\n\n\n [ This fraction comes from the fact that the digit 8 is in the tenths place.<\/p>\n\n\n\n Now, we simplify (\\frac{8}{10}). Both the numerator and the denominator can be divided by their greatest common divisor (GCD), which is 2:<\/p>\n\n\n\n [ So, (0.8) can be expressed as the simplified fraction (\\frac{4}{5}).<\/p>\n\n\n\n Now we can combine the whole number (12) with the fraction (\\frac{4}{5}). This gives us:<\/p>\n\n\n\n [ To express this as a single fraction, we convert 12 into a fraction with the same denominator (5):<\/p>\n\n\n\n [ Now, we can add the two fractions:<\/p>\n\n\n\n [ Thus, 12.8 converted to a fraction in simplest form is:<\/p>\n\n\n\n [ This fraction cannot be simplified further, as 64 and 5 have no common factors other than 1.<\/p>\n\n\n\n In summary, to convert the decimal 12.8 to a fraction, we separate the whole number and the decimal part, convert the decimal part into a fraction, simplify it, and then combine both parts to arrive at the final answer of (\\frac{64}{5}).<\/p>\n","protected":false},"excerpt":{"rendered":" What is 12.8 converted to a fraction? the answer should be given in simplest form. The Correct Answer and Explanation is : To convert the decimal 12.8 to a fraction in its simplest form, follow these steps: Step 1: Understand the Decimal The number 12.8 consists of a whole number part (12) and a decimal […]<\/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-148849","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/148849","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=148849"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/148849\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=148849"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=148849"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=148849"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Understand the Decimal<\/h3>\n\n\n\n
12.8 = 12 + 0.8
]<\/p>\n\n\n\nStep 2: Convert the Decimal Part to a Fraction<\/h3>\n\n\n\n
0.8 = \\frac{8}{10}
]<\/p>\n\n\n\nStep 3: Simplify the Fraction<\/h3>\n\n\n\n
\\frac{8 \\div 2}{10 \\div 2} = \\frac{4}{5}
]<\/p>\n\n\n\nStep 4: Combine the Whole Number and Fraction<\/h3>\n\n\n\n
12.8 = 12 + 0.8 = 12 + \\frac{4}{5}
]<\/p>\n\n\n\n
12 = \\frac{12 \\times 5}{5} = \\frac{60}{5}
]<\/p>\n\n\n\nStep 5: Add the Fractions<\/h3>\n\n\n\n
\\frac{60}{5} + \\frac{4}{5} = \\frac{60 + 4}{5} = \\frac{64}{5}
]<\/p>\n\n\n\nStep 6: Final Answer<\/h3>\n\n\n\n
\\frac{64}{5}
]<\/p>\n\n\n\nSummary<\/h3>\n\n\n\n