{"id":16899,"date":"2025-06-11T21:05:19","date_gmt":"2025-06-11T21:05:19","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=16899"},"modified":"2025-06-11T21:05:21","modified_gmt":"2025-06-11T21:05:21","slug":"convert-this-proper-fraction-in-its-simplest-form-14-20","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/convert-this-proper-fraction-in-its-simplest-form-14-20\/","title":{"rendered":"convert this proper fraction in it&#8217;s simplest form 14 20"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">convert this proper fraction in it&#8217;s simplest form 14 20<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><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 class=\"wp-block-paragraph\">The given proper fraction is: 1420\\frac{14}{20}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Simplest Form:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">To simplify the fraction, divide both the numerator and the denominator by their <strong>greatest common divisor (GCD)<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Factors of 14: 1, 2, 7, 14<\/li>\n\n\n\n<li>Factors of 20: 1, 2, 4, 5, 10, 20<\/li>\n\n\n\n<li>Common factors: 1, 2<\/li>\n\n\n\n<li>Greatest common factor: <strong>2<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Now divide both the numerator and the denominator by 2: 14\u00f7220\u00f72=710\\frac{14 \\div 2}{20 \\div 2} = \\frac{7}{10}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Final Answer:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">1420=710\\frac{14}{20} = \\frac{7}{10}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcdd 300-Word Explanation:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Simplifying fractions is a key skill in mathematics that helps make numbers easier to work with and understand. When you simplify a fraction, you reduce it to its lowest or simplest form, meaning the numerator (top number) and the denominator (bottom number) share no common factors except 1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The given fraction is <strong>14\/20<\/strong>, which is a proper fraction because the numerator is smaller than the denominator. To simplify this, we find the <strong>greatest common divisor (GCD)<\/strong>\u2014the largest number that evenly divides both 14 and 20.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Listing the factors of both numbers helps:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Factors of 14 are: 1, 2, 7, 14<\/li>\n\n\n\n<li>Factors of 20 are: 1, 2, 4, 5, 10, 20<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The common factors of 14 and 20 are 1 and 2. Among these, 2 is the greatest. So, we divide both 14 and 20 by 2: 14\u00f7220\u00f72=710\\frac{14 \\div 2}{20 \\div 2} = \\frac{7}{10}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This gives us <strong>7\/10<\/strong>, the simplest form of 14\/20. This fraction is equivalent to the original but uses smaller numbers, making it easier to understand or work with in math problems, especially in comparing, adding, or subtracting fractions.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Understanding how to simplify fractions also strengthens number sense and helps in more advanced topics like algebra and ratios. It\u2019s a foundational skill used in everyday life\u2014like when dividing a pizza, calculating discounts, or adjusting recipes. Always reduce fractions unless asked to keep the original form.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>convert this proper fraction in it&#8217;s simplest form 14 20 The correct answer and explanation is: The given proper fraction is: 1420\\frac{14}{20} \u2705 Simplest Form: To simplify the fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). Now divide both the numerator and the denominator by 2: 14\u00f7220\u00f72=710\\frac{14 \\div 2}{20 [&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-16899","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16899","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=16899"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16899\/revisions"}],"predecessor-version":[{"id":16900,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16899\/revisions\/16900"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=16899"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=16899"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=16899"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}