{"id":225009,"date":"2025-06-03T18:28:24","date_gmt":"2025-06-03T18:28:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=225009"},"modified":"2025-06-03T18:28:27","modified_gmt":"2025-06-03T18:28:27","slug":"simplify-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/03\/simplify-3\/","title":{"rendered":"simplify"},"content":{"rendered":"\n

simplify: 3\/5x + x Where 3 over 5 x plus x<\/p>\n\n\n\n

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

Simplified Expression:<\/h3>\n\n\n\n

35x+x=85x\\frac{3}{5}x + x = \\frac{8}{5}x<\/p>\n\n\n\n

\n\n\n\n

Explanation<\/h3>\n\n\n\n

Let\u2019s break down the expression: 35x+x\\frac{3}{5}x + x<\/p>\n\n\n\n

This expression involves like terms<\/strong>. “Like terms” are terms that have the same variable raised to the same power\u2014in this case, both terms include the variable x<\/strong> to the first power.<\/p>\n\n\n\n

Now, let’s write x<\/strong> in fraction form so it’s easier to add it to 35x\\frac{3}{5}x. Remember, x<\/strong> is the same as 55x\\frac{5}{5}x, because 55=1\\frac{5}{5} = 1. So: 35x+x=35x+55x\\frac{3}{5}x + x = \\frac{3}{5}x + \\frac{5}{5}x<\/p>\n\n\n\n

Now that both terms have the same denominator, we can add the numerators: (3+55)x=85x\\left(\\frac{3 + 5}{5}\\right)x = \\frac{8}{5}x<\/p>\n\n\n\n

So, the simplified form of 35x+x\\frac{3}{5}x + x is: 85x\\frac{8}{5}x<\/p>\n\n\n\n

\n\n\n\n

Why This Matters:<\/h3>\n\n\n\n

Understanding how to simplify expressions like this is essential in algebra because it prepares you to solve equations, analyze functions, and work with formulas in science and engineering.<\/p>\n\n\n\n

You always want to combine like terms where possible, because simpler expressions are easier to work with. The key steps are:<\/p>\n\n\n\n

    \n
  1. Recognize like terms (they must have the same variable and power).<\/li>\n\n\n\n
  2. If needed, convert whole numbers to fractions to have a common denominator.<\/li>\n\n\n\n
  3. Add or subtract the coefficients (the numbers in front of the variables).<\/li>\n\n\n\n
  4. Keep the variable part unchanged.<\/li>\n<\/ol>\n\n\n\n

    In this case, we added the coefficients 35\\frac{3}{5} and 11 (written as 55\\frac{5}{5}), which gave 85\\frac{8}{5}. The variable x<\/strong> stays the same, since we are only combining its coefficients.<\/p>\n\n\n\n

    This is a fundamental algebra skill used throughout higher-level math.<\/p>\n\n\n\n

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

    simplify: 3\/5x + x Where 3 over 5 x plus x The Correct Answer and Explanation is: Simplified Expression: 35x+x=85x\\frac{3}{5}x + x = \\frac{8}{5}x Explanation Let\u2019s break down the expression: 35x+x\\frac{3}{5}x + x This expression involves like terms. “Like terms” are terms that have the same variable raised to the same power\u2014in this case, both […]<\/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-225009","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225009","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=225009"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225009\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=225009"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=225009"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=225009"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}