{"id":20459,"date":"2025-06-14T13:23:58","date_gmt":"2025-06-14T13:23:58","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=20459"},"modified":"2025-06-14T13:23:59","modified_gmt":"2025-06-14T13:23:59","slug":"write-the-decimal-as-a-fraction","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-the-decimal-as-a-fraction\/","title":{"rendered":"Write the decimal as a fraction"},"content":{"rendered":"\n<p>Write the decimal as a fraction. 0.09<\/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<h3 class=\"wp-block-heading\">\u2705 Correct Answer:<\/h3>\n\n\n\n<p>The decimal <strong>0.09<\/strong> as a fraction is: 9100\\frac{9}{100}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcd8 300-Word Explanation:<\/h3>\n\n\n\n<p>To convert the decimal <strong>0.09<\/strong> into a fraction, follow these steps:<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: Understand Place Value<\/h4>\n\n\n\n<p>The number <strong>0.09<\/strong> means 9 hundredths. The digit <strong>9<\/strong> is in the <strong>hundredths<\/strong> place. This is because:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The first digit after the decimal is the <strong>tenths<\/strong> place (0.0), which is 0 in this case.<\/li>\n\n\n\n<li>The second digit is the <strong>hundredths<\/strong> place, which is <strong>9<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>So, we can write: 0.09=91000.09 = \\frac{9}{100}<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 2: Simplify the Fraction<\/h4>\n\n\n\n<p>Now we check if the fraction can be simplified. The numerator is 9, and the denominator is 100.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The greatest common divisor (GCD) of 9 and 100 is <strong>1<\/strong>, which means the fraction is already in its simplest form.<\/li>\n<\/ul>\n\n\n\n<p>So, the final simplified fraction is: 9100\\frac{9}{100}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udd01 Why This Works:<\/h3>\n\n\n\n<p>Decimals are just another way to express fractions with denominators that are powers of 10.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>0.1 = 1\/10<\/strong> (tenths)<\/li>\n\n\n\n<li><strong>0.01 = 1\/100<\/strong> (hundredths)<\/li>\n\n\n\n<li><strong>0.001 = 1\/1000<\/strong> (thousandths)<\/li>\n<\/ul>\n\n\n\n<p>So: 0.09=9\u00d71100=91000.09 = 9 \\times \\frac{1}{100} = \\frac{9}{100}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Final Answer Again:<\/h3>\n\n\n\n<p>9100\\boxed{\\frac{9}{100}}<\/p>\n\n\n\n<p>This method is helpful in math, finance, and science where you often need to switch between decimals and fractions for precision and clarity.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write the decimal as a fraction. 0.09 The correct answer and explanation is: \u2705 Correct Answer: The decimal 0.09 as a fraction is: 9100\\frac{9}{100} \ud83d\udcd8 300-Word Explanation: To convert the decimal 0.09 into a fraction, follow these steps: Step 1: Understand Place Value The number 0.09 means 9 hundredths. The digit 9 is in the [&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-20459","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20459","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=20459"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20459\/revisions"}],"predecessor-version":[{"id":20460,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20459\/revisions\/20460"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=20459"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=20459"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=20459"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}