{"id":227506,"date":"2025-06-06T07:26:32","date_gmt":"2025-06-06T07:26:32","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=227506"},"modified":"2025-06-06T07:26:34","modified_gmt":"2025-06-06T07:26:34","slug":"convert-2-42-into-a-fraction-in-its-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/06\/convert-2-42-into-a-fraction-in-its-simplest-form\/","title":{"rendered":"Convert 2.42 into a fraction in its Simplest Form"},"content":{"rendered":"\n<p>Convert 2.42 into a fraction in its Simplest Form<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Correct Answer:<\/h3>\n\n\n\n<p><strong>2.42 = 121\/50<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>To convert <strong>2.42<\/strong> into a fraction in its <strong>simplest form<\/strong>, we follow a few straightforward steps involving place value and simplification.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 1: Understand the Decimal<\/strong><\/p>\n\n\n\n<p>The decimal <strong>2.42<\/strong> means:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&#8220;2&#8221; is the whole number.<\/li>\n\n\n\n<li>&#8220;0.42&#8221; is the decimal part, or <strong>42 hundredths<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>So, we can write:2.42=2+0.422.42 = 2 + 0.422.42=2+0.42<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 2: Convert the Decimal Part to a Fraction<\/strong><\/p>\n\n\n\n<p>The decimal <strong>0.42<\/strong> can be written as:0.42=421000.42 = \\frac{42}{100}0.42=10042\u200b<\/p>\n\n\n\n<p>Now we simplify this fraction.<\/p>\n\n\n\n<p>The <strong>greatest common divisor (GCD)<\/strong> of 42 and 100 is <strong>2<\/strong>.42\u00f72100\u00f72=2150\\frac{42 \\div 2}{100 \\div 2} = \\frac{21}{50}100\u00f7242\u00f72\u200b=5021\u200b<\/p>\n\n\n\n<p>So:0.42=21500.42 = \\frac{21}{50}0.42=5021\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 3: Add the Whole Number Back<\/strong><\/p>\n\n\n\n<p>Now add the whole number part (<strong>2<\/strong>) back to the simplified fraction:2+2150=2\u00d750+2150=100+2150=121502 + \\frac{21}{50} = \\frac{2 \\times 50 + 21}{50} = \\frac{100 + 21}{50} = \\frac{121}{50}2+5021\u200b=502\u00d750+21\u200b=50100+21\u200b=50121\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 4: Final Answer<\/strong>2.42=12150\\boxed{2.42 = \\frac{121}{50}}2.42=50121\u200b\u200b<\/p>\n\n\n\n<p>This is already in <strong>simplest form<\/strong>, since 121 and 50 have no common factors other than 1.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Why This Matters<\/strong><\/p>\n\n\n\n<p>Converting decimals to fractions is important in mathematics because fractions are often more precise in calculations and can reveal number relationships more clearly. For example, fractions can help with ratios, algebraic expressions, and exact measurements in science or engineering.<\/p>\n\n\n\n<p>Understanding how to break down a decimal into its fractional components and simplify it enhances number sense and mathematical fluency, which are critical for higher-level math.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-76.jpeg\" alt=\"\" class=\"wp-image-227507\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Convert 2.42 into a fraction in its Simplest Form The Correct Answer and Explanation is: Correct Answer: 2.42 = 121\/50 Explanation To convert 2.42 into a fraction in its simplest form, we follow a few straightforward steps involving place value and simplification. Step 1: Understand the Decimal The decimal 2.42 means: So, we can write:2.42=2+0.422.42 [&hellip;]<\/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-227506","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227506","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=227506"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227506\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=227506"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=227506"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=227506"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}