{"id":247453,"date":"2025-07-07T17:38:44","date_gmt":"2025-07-07T17:38:44","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=247453"},"modified":"2025-07-07T17:38:46","modified_gmt":"2025-07-07T17:38:46","slug":"the-sum-of-2-9-and-2-5-9-in-simplest-form-is","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/07\/the-sum-of-2-9-and-2-5-9-in-simplest-form-is\/","title":{"rendered":"The sum of 2\/9 and 2 5\/9 in simplest form is"},"content":{"rendered":"\n<p>The sum of 2\/9 and 2 5\/9 in simplest form is<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the sum of 29\\frac{2}{9}92\u200b and 2592 \\frac{5}{9}295\u200b, we first need to convert the mixed number 2592 \\frac{5}{9}295\u200b into an improper fraction.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert the mixed number into an improper fraction<\/h3>\n\n\n\n<p>A mixed number consists of a whole number and a fraction. To convert it into an improper fraction, multiply the whole number by the denominator and add the numerator. Here\u2019s the calculation for 2592 \\frac{5}{9}295\u200b:259=(2\u00d79)+59=18+59=2392 \\frac{5}{9} = \\frac{(2 \\times 9) + 5}{9} = \\frac{18 + 5}{9} = \\frac{23}{9}295\u200b=9(2\u00d79)+5\u200b=918+5\u200b=923\u200b<\/p>\n\n\n\n<p>So, 259=2392 \\frac{5}{9} = \\frac{23}{9}295\u200b=923\u200b.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Add the fractions<\/h3>\n\n\n\n<p>Now that both terms are in the form of fractions with the same denominator, we can add them directly. The fractions are:29&nbsp;and&nbsp;239\\frac{2}{9} \\text{ and } \\frac{23}{9}92\u200b&nbsp;and&nbsp;923\u200b<\/p>\n\n\n\n<p>Since they have the same denominator, we add the numerators:29+239=2+239=259\\frac{2}{9} + \\frac{23}{9} = \\frac{2 + 23}{9} = \\frac{25}{9}92\u200b+923\u200b=92+23\u200b=925\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Simplify the fraction (if needed)<\/h3>\n\n\n\n<p>In this case, 259\\frac{25}{9}925\u200b is already in its simplest form because 25 and 9 have no common factors (other than 1).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Convert to a mixed number (if desired)<\/h3>\n\n\n\n<p>If we want to express the result as a mixed number, we divide 25 by 9:25\u00f79=2&nbsp;remainder&nbsp;725 \\div 9 = 2 \\text{ remainder } 725\u00f79=2&nbsp;remainder&nbsp;7<\/p>\n\n\n\n<p>Thus, 259=279\\frac{25}{9} = 2 \\frac{7}{9}925\u200b=297\u200b.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<p>The sum of 29\\frac{2}{9}92\u200b and 2592 \\frac{5}{9}295\u200b is 259\\frac{25}{9}925\u200b, or as a mixed number, 2792 \\frac{7}{9}297\u200b.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-1017.jpeg\" alt=\"\" class=\"wp-image-247462\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The sum of 2\/9 and 2 5\/9 in simplest form is The Correct Answer and Explanation is: To find the sum of 29\\frac{2}{9}92\u200b and 2592 \\frac{5}{9}295\u200b, we first need to convert the mixed number 2592 \\frac{5}{9}295\u200b into an improper fraction. Step 1: Convert the mixed number into an improper fraction A mixed number consists of [&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-247453","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/247453","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=247453"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/247453\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=247453"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=247453"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=247453"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}