{"id":16163,"date":"2025-06-11T07:40:04","date_gmt":"2025-06-11T07:40:04","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=16163"},"modified":"2025-06-11T07:40:08","modified_gmt":"2025-06-11T07:40:08","slug":"what-fraction-is-equivalent-to-the-decimal-1-375","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-fraction-is-equivalent-to-the-decimal-1-375\/","title":{"rendered":"What fraction is equivalent to the decimal 1.375"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">What fraction is equivalent to the decimal 1.375<\/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 decimal <strong>1.375<\/strong> is equivalent to the fraction <strong>11\/8<\/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 (300 words):<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">To convert the decimal <strong>1.375<\/strong> into a fraction, we follow a step-by-step process:<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 1: Separate the whole number and the decimal part<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The number <strong>1.375<\/strong> consists of:\n<ul class=\"wp-block-list\">\n<li>A whole number part: <strong>1<\/strong><\/li>\n\n\n\n<li>A decimal part: <strong>0.375<\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">We can write this as: 1.375=1+0.3751.375 = 1 + 0.375<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 2: Convert the decimal part to a fraction<\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Let\u2019s focus on converting <strong>0.375<\/strong> to a fraction.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Since <strong>0.375<\/strong> has three decimal places, we can express it as: 0.375=37510000.375 = \\frac{375}{1000}<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 3: Simplify the fraction<\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">We now simplify <strong>375\/1000<\/strong> by dividing both the numerator and denominator by their greatest common divisor (GCD), which is <strong>125<\/strong>: 375\u00f71251000\u00f7125=38\\frac{375 \\div 125}{1000 \\div 125} = \\frac{3}{8}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, 0.375=380.375 = \\frac{3}{8}<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 4: Add the whole number back<\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Now add the whole number <strong>1<\/strong> to the fraction <strong>3\/8<\/strong>: 1+38=88+38=1181 + \\frac{3}{8} = \\frac{8}{8} + \\frac{3}{8} = \\frac{11}{8}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, the decimal <strong>1.375<\/strong> is equivalent to the fraction <strong>11\/8<\/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>Why This Matters:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Understanding how to convert decimals to fractions is a key math skill. It helps in:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Solving real-world problems involving measurements and money.<\/li>\n\n\n\n<li>Working in science, engineering, and cooking where fractions are common.<\/li>\n\n\n\n<li>Comparing numbers more precisely (e.g., knowing that 1.375 is more than 1\u00bc or 10\/8).<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">This example also shows how place value (tenths, hundredths, thousandths) helps convert decimals into exact fractions, rather than just estimating.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What fraction is equivalent to the decimal 1.375 The correct answer and explanation is: The decimal 1.375 is equivalent to the fraction 11\/8. Explanation (300 words): To convert the decimal 1.375 into a fraction, we follow a step-by-step process: Step 1: Separate the whole number and the decimal part We can write this as: 1.375=1+0.3751.375 [&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-16163","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16163","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=16163"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16163\/revisions"}],"predecessor-version":[{"id":16164,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16163\/revisions\/16164"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=16163"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=16163"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=16163"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}