{"id":230831,"date":"2025-06-10T06:43:33","date_gmt":"2025-06-10T06:43:33","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230831"},"modified":"2025-06-10T06:43:35","modified_gmt":"2025-06-10T06:43:35","slug":"express-the-following-decimals-as-a-fraction-4-33-0-05","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/10\/express-the-following-decimals-as-a-fraction-4-33-0-05\/","title":{"rendered":"Express the following decimals as a fraction. 4.33\/0.05"},"content":{"rendered":"\n

Express the following decimals as a fraction. 4.33\/0.05<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

\u2705 Step-by-Step Calculation<\/strong>:<\/h3>\n\n\n\n

We begin with:4.330.05\\frac{4.33}{0.05}0.054.33\u200b<\/p>\n\n\n\n

To simplify division with decimals, multiply both numerator and denominator by 100<\/strong> to eliminate the decimals:4.33\u00d71000.05\u00d7100=4335\\frac{4.33 \\times 100}{0.05 \\times 100} = \\frac{433}{5}0.05\u00d71004.33\u00d7100\u200b=5433\u200b<\/p>\n\n\n\n

So the final fraction is:4335\\boxed{\\frac{433}{5}}5433\u200b\u200b<\/p>\n\n\n\n

\n\n\n\n

\ud83d\udcd8 Explanation<\/strong><\/h3>\n\n\n\n

When working with decimals and converting them into fractions, it’s often easiest to eliminate the decimals by multiplying both the numerator and the denominator by a power of 10. In this case, both 4.33 and 0.05 have decimals, so we can multiply both by 100 to shift the decimal point two places to the right.<\/p>\n\n\n\n

Multiplying 4.33 by 100 gives us 433, and multiplying 0.05 by 100 gives us 5. This transforms our original expression from:4.330.05\\frac{4.33}{0.05}0.054.33\u200b<\/p>\n\n\n\n

into:4335\\frac{433}{5}5433\u200b<\/p>\n\n\n\n

This fraction is already in its simplest form because the numerator (433) and the denominator (5) share no common factors other than 1. That means it is a reduced proper fraction<\/strong>, even though it is improper<\/strong> (the numerator is greater than the denominator). Improper fractions are perfectly acceptable in mathematics, although they can also be expressed as mixed numbers. If we wanted to express 4335\\frac{433}{5}5433\u200b as a mixed number, we would perform division:433\u00f75=86 remainder 3433 \\div 5 = 86 \\text{ remainder } 3433\u00f75=86 remainder 3<\/p>\n\n\n\n

So:4335=8635\\frac{433}{5} = 86 \\frac{3}{5}5433\u200b=8653\u200b<\/p>\n\n\n\n

This shows that dividing 4.33 by 0.05 results in 86.6, which corresponds exactly to the mixed number form 863586 \\frac{3}{5}8653\u200b. Converting decimals to fractions helps reinforce the relationship between different numerical representations, which is especially useful in algebra, measurements, and real-world problem solving.<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

Express the following decimals as a fraction. 4.33\/0.05 The Correct Answer and Explanation is: \u2705 Step-by-Step Calculation: We begin with:4.330.05\\frac{4.33}{0.05}0.054.33\u200b To simplify division with decimals, multiply both numerator and denominator by 100 to eliminate the decimals:4.33\u00d71000.05\u00d7100=4335\\frac{4.33 \\times 100}{0.05 \\times 100} = \\frac{433}{5}0.05\u00d71004.33\u00d7100\u200b=5433\u200b So the final fraction is:4335\\boxed{\\frac{433}{5}}5433\u200b\u200b \ud83d\udcd8 Explanation When working with decimals and converting […]<\/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-230831","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230831","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=230831"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230831\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=230831"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=230831"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=230831"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}