Write 2x\/3x in simplest form<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n The expression ( \\frac{2x}{3x} ) can be simplified by canceling out the common factor in both the numerator and the denominator. Here\u2019s a step-by-step explanation of the process:<\/p>\n\n\n\n The expression ( \\frac{2x}{3x} ) consists of two terms: ( 2x ) in the numerator and ( 3x ) in the denominator. We notice that both the numerator and the denominator contain a factor of ( x ).<\/p>\n\n\n\n We can simplify the expression by canceling the common factor of ( x ) from the numerator and the denominator, as long as ( x \\neq 0 ) (since division by zero is undefined). This leaves us with:<\/p>\n\n\n\n [ After canceling the common ( x ), the remaining terms are ( 2 ) in the numerator and ( 3 ) in the denominator. Since there are no more common factors between the numerator and the denominator, the fraction is in its simplest form.<\/p>\n\n\n\n Thus, the simplest form of ( \\frac{2x}{3x} ) is ( \\frac{2}{3} ), assuming that ( x \\neq 0 ).<\/p>\n\n\n\n This simplification process is based on the principle that when dividing two algebraic expressions, you can cancel out any common factors in the numerator and denominator. However, it’s essential to remember that you cannot cancel terms that are not factors. For example, you can’t cancel the ( x ) in ( 2x ) with the 3 in ( 3x ) because they are not common factors in the traditional sense.<\/p>\n\n\n\n In general, when simplifying rational expressions, always look for factors that can be divided out. If no common factors are present, the expression is already in its simplest form.<\/p>\n","protected":false},"excerpt":{"rendered":" Write 2x\/3x in simplest form The Correct Answer and Explanation is: The expression ( \\frac{2x}{3x} ) can be simplified by canceling out the common factor in both the numerator and the denominator. Here\u2019s a step-by-step explanation of the process: Step 1: Identify Common Factors The expression ( \\frac{2x}{3x} ) consists of two terms: ( 2x […]<\/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-168263","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168263","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=168263"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168263\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168263"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168263"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168263"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Identify Common Factors<\/h3>\n\n\n\n
Step 2: Cancel Out Common Factors<\/h3>\n\n\n\n
\\frac{2x}{3x} = \\frac{2}{3}
]<\/p>\n\n\n\nStep 3: Verify Simplification<\/h3>\n\n\n\n
Conclusion<\/h3>\n\n\n\n
Additional Notes<\/h3>\n\n\n\n