{"id":134821,"date":"2023-03-21T16:38:04","date_gmt":"2023-03-21T11:08:04","guid":{"rendered":"https:\/\/www.mapsofindia.com\/my-india\/?p=134821"},"modified":"2023-03-21T16:38:04","modified_gmt":"2023-03-21T11:08:04","slug":"if-we-add-1-to-the-numerator-and-subtract-1-from-the-denominator-a-fraction-reduces-to-1-it-becomes-12-if-we-only-add-1-to-the-denominator-what-is-the-fraction","status":"publish","type":"post","link":"https:\/\/www.mapsofindia.com\/my-india\/quiz\/if-we-add-1-to-the-numerator-and-subtract-1-from-the-denominator-a-fraction-reduces-to-1-it-becomes-12-if-we-only-add-1-to-the-denominator-what-is-the-fraction","title":{"rendered":"If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 12 if we only add 1 to the denominator. What is the fraction?"},"content":{"rendered":"<h2>Question :If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 12 if we only add 1 to the denominator. What is the fraction?<\/h2>\n<h3>The correct answer :Let the fraction be x\/y.<\/h3>\n<h3>According to the problem, if we add 1 to the numerator and subtract 1 from the denominator, we get:<\/h3>\n<h3>(x+1)\/(y-1) = 1<\/h3>\n<h3>Multiplying both sides by y-1, we get:<\/h3>\n<h3>x+1 = y-1<\/h3>\n<h3>x = y-2<\/h3>\n<h3>Now, if we add 1 to the denominator, we get:<\/h3>\n<h3>x\/(y+1) = 12<\/h3>\n<h3>Substituting x = y-2, we get:<\/h3>\n<h3>(y-2)\/(y+1) = 12<\/h3>\n<h3>Multiplying both sides by y+1, we get:<\/h3>\n<h3>y-2 = 12(y+1)<\/h3>\n<h3>Expanding the right-hand side, we get:<\/h3>\n<h3>y-2 = 12y + 12<\/h3>\n<h3>Simplifying, we get:<\/h3>\n<h3>-11y = -14<\/h3>\n<h3>y = 14\/11<\/h3>\n<h3>Substituting y = 14\/11 into x = y-2, we get:<\/h3>\n<h3>x = 14\/11 &#8211; 22\/11 = -8\/11<\/h3>\n<h3>However, since the original fraction must be positive (otherwise adding 1 to the numerator and subtracting 1 from the denominator would result in a negative number), we can discard the negative value for x and conclude that the fraction is:<\/h3>\n<h3>x\/y = 8\/11<\/h3>\n<h3>Therefore, the fraction is 8\/11.<\/h3>\n","protected":false},"excerpt":{"rendered":"<p>Question :If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 12 if we only add 1 to the denominator. What is the fraction? The correct answer :Let the fraction be x\/y. According to the problem, if we add 1 to the numerator and subtract [&hellip;]<\/p>\n","protected":false},"author":21842,"featured_media":132233,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12119],"tags":[],"class_list":{"0":"post-134821","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-quiz"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/134821","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/users\/21842"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/comments?post=134821"}],"version-history":[{"count":1,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/134821\/revisions"}],"predecessor-version":[{"id":134822,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/134821\/revisions\/134822"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media\/132233"}],"wp:attachment":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media?parent=134821"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/categories?post=134821"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/tags?post=134821"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}