{"id":27815,"date":"2025-06-20T07:29:09","date_gmt":"2025-06-20T07:29:09","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=27815"},"modified":"2025-06-20T07:29:11","modified_gmt":"2025-06-20T07:29:11","slug":"if-40-is-equal-to-the-fraction-x-30-what-is-the-value-of-x","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/if-40-is-equal-to-the-fraction-x-30-what-is-the-value-of-x\/","title":{"rendered":"IF 40% IS EQUAL TO THE FRACTION X\/30, WHAT IS THE VALUE OF X"},"content":{"rendered":"\n<ol start=\"2\" class=\"wp-block-list\">\n<li>IF 40% IS EQUAL TO THE FRACTION X\/30, WHAT IS THE VALUE OF X? A. 0.4 B. 15 C. 1,200 D. 12<\/li>\n<\/ol>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer: D. 12<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>We are given that:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>40% is equal to the fraction X\u204430<\/p>\n<\/blockquote>\n\n\n\n<p>Our goal is to find the value of <strong>X<\/strong> that makes this statement true.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understand the percent<\/h3>\n\n\n\n<p>40% means 40 per 100, or: 40%=40100=0.440\\% = \\frac{40}{100} = 0.440%=10040\u200b=0.4<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Set up the equation<\/h3>\n\n\n\n<p>According to the question, the fraction X\u204430 is equal to 0.4: X30=0.4\\frac{X}{30} = 0.430X\u200b=0.4<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Solve for X<\/h3>\n\n\n\n<p>To find <strong>X<\/strong>, multiply both sides of the equation by 30: X=0.4\u00d730X = 0.4 \\times 30X=0.4\u00d730 X=12X = 12X=12<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer: <strong>D. 12<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Additional Explanation:<\/h3>\n\n\n\n<p>This type of question tests your ability to translate between percentages and fractions. A percentage is just a special kind of fraction with 100 as the denominator. To compare or equate it with another fraction, you must first convert the percentage to a decimal or a proper fraction.<\/p>\n\n\n\n<p>In this case:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>40% becomes 0.4<\/li>\n\n\n\n<li>Then, solving the proportion X30=0.4\\frac{X}{30} = 0.430X\u200b=0.4, you isolate X by multiplying both sides by 30<\/li>\n\n\n\n<li>The result is that X equals 12<\/li>\n<\/ul>\n\n\n\n<p>You can double-check this by plugging 12 back into the original fraction: 1230=0.4\\frac{12}{30} = 0.43012\u200b=0.4<\/p>\n\n\n\n<p>That confirms our solution. This method works for any similar problem involving percent-to-fraction conversions.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-193.jpeg\" alt=\"\" class=\"wp-image-27822\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-193.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-193-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-193-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: Correct Answer: D. 12 Explanation: We are given that: 40% is equal to the fraction X\u204430 Our goal is to find the value of X that makes this statement true. Step 1: Understand the percent 40% means 40 per 100, or: 40%=40100=0.440\\% = \\frac{40}{100} = 0.440%=10040\u200b=0.4 Step 2: Set [&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-27815","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27815","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=27815"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27815\/revisions"}],"predecessor-version":[{"id":27823,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27815\/revisions\/27823"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=27815"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=27815"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=27815"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}