Write 0.45 as a fraction in simplest form<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To convert the decimal 0.45 into a fraction and simplify it to its lowest terms, follow these steps:<\/p>\n\n\n\n The decimal 0.45 can be expressed as a fraction by placing it over 1. To eliminate the decimal, we can multiply both the numerator and the denominator by 100 (since there are two digits after the decimal point):<\/p>\n\n\n\n [ Next, we need to simplify the fraction (\\frac{45}{100}). To do this, we find the greatest common divisor (GCD) of the numerator (45) and the denominator (100).<\/p>\n\n\n\n The common factors are only (5). Therefore, the GCD of 45 and 100 is 5.<\/p>\n\n\n\n Now we divide both the numerator and the denominator by their GCD:<\/p>\n\n\n\n [ Thus, the decimal 0.45 expressed as a fraction in its simplest form is:<\/p>\n\n\n\n [ In summary, converting a decimal to a fraction involves writing it over 1, eliminating the decimal by multiplying by a power of ten, and then simplifying the resulting fraction by finding and dividing by the GCD of the numerator and denominator. In this case, we started with 0.45, wrote it as (\\frac{45}{100}), and simplified it to (\\frac{9}{20}). This method can be applied to any decimal to convert it to its simplest fractional form.<\/p>\n","protected":false},"excerpt":{"rendered":" Write 0.45 as a fraction in simplest form The Correct Answer and Explanation is: To convert the decimal 0.45 into a fraction and simplify it to its lowest terms, follow these steps: Step 1: Write the Decimal as a Fraction The decimal 0.45 can be expressed as a fraction by placing it over 1. To […]<\/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-153957","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/153957","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=153957"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/153957\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=153957"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=153957"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=153957"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Write the Decimal as a Fraction<\/h3>\n\n\n\n
0.45 = \\frac{0.45}{1} = \\frac{0.45 \\times 100}{1 \\times 100} = \\frac{45}{100}
]<\/p>\n\n\n\nStep 2: Simplify the Fraction<\/h3>\n\n\n\n
Finding the GCD:<\/h4>\n\n\n\n
\n
Dividing the Numerator and Denominator by the GCD:<\/h4>\n\n\n\n
\\frac{45 \\div 5}{100 \\div 5} = \\frac{9}{20}
]<\/p>\n\n\n\nStep 3: Final Answer<\/h3>\n\n\n\n
\\frac{9}{20}
]<\/p>\n\n\n\nConclusion<\/h3>\n\n\n\n