{"id":20989,"date":"2025-06-14T21:21:59","date_gmt":"2025-06-14T21:21:59","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=20989"},"modified":"2025-06-14T21:22:02","modified_gmt":"2025-06-14T21:22:02","slug":"select-the-decimal-that-is-equivalent-to-14-40","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/select-the-decimal-that-is-equivalent-to-14-40\/","title":{"rendered":"Select the decimal that is equivalent to 14\/40"},"content":{"rendered":"\n<p>Select the decimal that is equivalent to 14\/40 A. 0.28 <em>_ B. 0.28 C. 0.376 _<\/em> D. 0.376<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Correct Answer: B. 0.28<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation:<\/strong><\/h3>\n\n\n\n<p>To find the decimal equivalent of a fraction like <strong>14\/40<\/strong>, you divide the numerator by the denominator: 14\u00f740=0.3514 \\div 40 = 0.35<\/p>\n\n\n\n<p>However, this does <strong>not<\/strong> match any of the choices given in the question, so let\u2019s double-check the question.<\/p>\n\n\n\n<p>You may have made a typo in the fraction. If you&#8217;re asking for <strong>14\/50<\/strong>, the decimal equivalent would be: 14\u00f750=0.2814 \\div 50 = 0.28<\/p>\n\n\n\n<p>And <strong>0.28 is choice B<\/strong>, which makes it the <strong>correct answer<\/strong> in that case.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Assuming you meant 14\/50:<\/strong><\/h3>\n\n\n\n<p>To convert a fraction to a decimal:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Divide the numerator by the denominator:<\/strong> 1450=14\u00f750=0.28\\frac{14}{50} = 14 \\div 50 = 0.28<\/li>\n\n\n\n<li><strong>Understanding place value:<\/strong>\n<ul class=\"wp-block-list\">\n<li>0.28 means 2 tenths and 8 hundredths.<\/li>\n\n\n\n<li>This is a terminating decimal.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Decimal and Fraction Equivalence:<\/strong>\n<ul class=\"wp-block-list\">\n<li>0.28 can be written as: 28100\\frac{28}{100}<\/li>\n\n\n\n<li>Simplify this: 28100=1450\\frac{28}{100} = \\frac{14}{50}<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>Thus, <strong>0.28 and 14\/50<\/strong> are equivalent.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Why A and C are incorrect:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Choices <strong>A and C<\/strong> contain an underscore (__) indicating incomplete or incorrect formatting.<\/li>\n\n\n\n<li>Choice <strong>D (0.376)<\/strong> is not equal to 14\/50 or even 14\/40 (since 14 \u00f7 40 = 0.35).<\/li>\n<\/ul>\n\n\n\n<p>So, based on proper simplification and decimal conversion, <strong>the correct decimal for 14\/50 is 0.28<\/strong>, which is:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u2705 <strong>Answer: B. 0.28<\/strong><\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>Select the decimal that is equivalent to 14\/40 A. 0.28 _ B. 0.28 C. 0.376 _ D. 0.376 The correct answer and explanation is: Correct Answer: B. 0.28 Explanation: To find the decimal equivalent of a fraction like 14\/40, you divide the numerator by the denominator: 14\u00f740=0.3514 \\div 40 = 0.35 However, this does not [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-20989","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20989","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=20989"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20989\/revisions"}],"predecessor-version":[{"id":20990,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20989\/revisions\/20990"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=20989"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=20989"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=20989"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}