{"id":17462,"date":"2025-06-12T12:37:54","date_gmt":"2025-06-12T12:37:54","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=17462"},"modified":"2025-06-12T12:37:56","modified_gmt":"2025-06-12T12:37:56","slug":"convert-the-fraction-below-into-a-decimal-frac160","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/convert-the-fraction-below-into-a-decimal-frac160\/","title":{"rendered":"Convert the fraction below into a decimal \\frac{1}{60}"},"content":{"rendered":"\n

Convert the fraction below into a decimal \\frac{1}{60}<\/p>\n\n\n\n

The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n

Decimal Conversion:<\/h3>\n\n\n\n

160=0.01666\u203e\\frac{1}{60} = 0.0166\\overline{6}<\/p>\n\n\n\n

This means the decimal is approximately 0.016666…<\/strong>, where the digit 6<\/strong> repeats infinitely.<\/p>\n\n\n\n

\n\n\n\n

Explanation (300 Words):<\/h3>\n\n\n\n

Converting a fraction into a decimal involves dividing the numerator (top number) by the denominator (bottom number). In the case of the fraction 160\\frac{1}{60}, you are dividing 1 by 60.<\/p>\n\n\n\n

To perform this division:<\/p>\n\n\n\n

1 \u00f7 60 = 0.016666…<\/p>\n\n\n\n

This decimal is non-terminating<\/strong> and repeating<\/strong>, which means it goes on forever but follows a repeating pattern. In this case, the digit 6<\/strong> repeats. The notation 0.01666\u203e0.0166\\overline{6} uses a bar over the repeating digit to show that it continues infinitely.<\/p>\n\n\n\n

Let\u2019s break it down further:<\/p>\n\n\n\n

    \n
  • The number 60 does not<\/strong> divide evenly into 1, so we must use decimal points and zeros to continue dividing.<\/li>\n\n\n\n
  • 60 goes into 1 zero times, so we add a decimal point and continue with 10.<\/li>\n\n\n\n
  • 60 goes into 10 zero times, so we add another 0 and now consider 100.<\/li>\n\n\n\n
  • 60 goes into 100 once (1 \u00d7 60 = 60), with a remainder of 40.<\/li>\n\n\n\n
  • Bring down a 0, making it 400. 60 goes into 400 six times (6 \u00d7 60 = 360), with a remainder of 40.<\/li>\n\n\n\n
  • Bring down another 0 to get 400 again. This shows that the remainder is repeating, which means the decimal will repeat as well.<\/li>\n<\/ul>\n\n\n\n

    This is a repeating decimal<\/strong>, a common result when a fraction\u2019s denominator has a prime factor other than 2 or 5. Since 60 = 2\u00b2 \u00d7 3 \u00d7 5, and 3 is not 2 or 5, the decimal repeats.<\/p>\n\n\n\n

    This also shows why understanding fraction-to-decimal conversions is important\u2014especially in areas like measurements, science, and finance, where precision matters. Knowing that 160=0.01666\u203e\\frac{1}{60} = 0.0166\\overline{6} helps when working with recurring decimals or rounding in real-world scenarios.<\/p>\n","protected":false},"excerpt":{"rendered":"

    Convert the fraction below into a decimal \\frac{1}{60} The correct answer and explanation is: Decimal Conversion: 160=0.01666\u203e\\frac{1}{60} = 0.0166\\overline{6} This means the decimal is approximately 0.016666…, where the digit 6 repeats infinitely. Explanation (300 Words): Converting a fraction into a decimal involves dividing the numerator (top number) by the denominator (bottom number). In the case […]<\/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-17462","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17462","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=17462"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17462\/revisions"}],"predecessor-version":[{"id":17463,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17462\/revisions\/17463"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=17462"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=17462"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=17462"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}