{"id":257163,"date":"2025-07-16T19:10:00","date_gmt":"2025-07-16T19:10:00","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=257163"},"modified":"2025-07-16T19:10:05","modified_gmt":"2025-07-16T19:10:05","slug":"which-expressions-are-equivalent-to-the-one-below","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/16\/which-expressions-are-equivalent-to-the-one-below\/","title":{"rendered":"Which expressions are equivalent to the one below"},"content":{"rendered":"\n<pre id=\"preorder-ask-header-text\" class=\"wp-block-preformatted\">&nbsp;<\/pre>\n\n\n\n<p>Which expressions are equivalent to the one below? Check all that apply. 21\/7<\/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<p>The expression given is 217\\frac{21}{7}721\u200b. Let&#8217;s explore what equivalent expressions would be.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Simplifying the expression:<\/strong> 217=3\\frac{21}{7} = 3721\u200b=3 This is because 21\u00f77=321 \\div 7 = 321\u00f77=3. So, 333 is an equivalent expression.<\/li>\n\n\n\n<li><strong>Multiplication Form:<\/strong><br>217\\frac{21}{7}721\u200b can also be written as a product using the reciprocal: 21\u00d717=321 \\times \\frac{1}{7} = 321\u00d771\u200b=3 This is another equivalent expression, as multiplying by the reciprocal of 7 gives the same result as dividing by 7.<\/li>\n\n\n\n<li><strong>Fraction Form with Equivalent Numerator and Denominator:<\/strong><br>A fraction that has the same value but is expressed differently could be: 4214\\frac{42}{14}1442\u200b This is equivalent because: 4214=3(since\u00a042\u00f714=3)\\frac{42}{14} = 3 \\quad \\text{(since \\( 42 \\div 14 = 3 \\))}1442\u200b=3(since\u00a042\u00f714=3) This expression is also equivalent to 217\\frac{21}{7}721\u200b.<\/li>\n\n\n\n<li><strong>Decimal Form:<\/strong><br>Another way to express 217\\frac{21}{7}721\u200b is in decimal form: 3.03.03.0 Both 333 and 3.03.03.0 represent the same value, so this is another equivalent expression.<\/li>\n<\/ol>\n\n\n\n<p>In conclusion, the following expressions are equivalent to 217\\frac{21}{7}721\u200b:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>333<\/li>\n\n\n\n<li>21\u00d71721 \\times \\frac{1}{7}21\u00d771\u200b<\/li>\n\n\n\n<li>4214\\frac{42}{14}1442\u200b<\/li>\n\n\n\n<li>3.03.03.0<\/li>\n<\/ul>\n\n\n\n<p>All of these expressions result in the same value, 333, thus making them equivalent to the original expression.<\/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-banner6-711.jpeg\" alt=\"\" class=\"wp-image-257164\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Which expressions are equivalent to the one below? Check all that apply. 21\/7 The Correct Answer and Explanation is: The expression given is 217\\frac{21}{7}721\u200b. Let&#8217;s explore what equivalent expressions would be. In conclusion, the following expressions are equivalent to 217\\frac{21}{7}721\u200b: All of these expressions result in the same value, 333, thus making them equivalent [&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-257163","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/257163","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=257163"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/257163\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=257163"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=257163"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=257163"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}