{"id":24757,"date":"2025-06-18T17:49:49","date_gmt":"2025-06-18T17:49:49","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=24757"},"modified":"2025-06-18T17:49:51","modified_gmt":"2025-06-18T17:49:51","slug":"rewrite-as-a-simplified-fraction","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/rewrite-as-a-simplified-fraction\/","title":{"rendered":"Rewrite as a simplified fraction"},"content":{"rendered":"\n

Rewrite as a simplified fraction: 1.83<\/p>\n\n\n\n

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

Answer:<\/strong>
1.83 as a simplified fraction is 183\/100<\/strong>, which cannot be simplified further.<\/p>\n\n\n\n

\n\n\n\n

Explanation:<\/h3>\n\n\n\n

To convert the decimal 1.83 into a fraction, follow these steps:<\/p>\n\n\n\n

    \n
  1. Write the decimal as a fraction with a power of 10 denominator:<\/strong>
    Since 1.83 has two digits after the decimal point, multiply both numerator and denominator by 100 (because 10\u00b2 = 100). 1.83=1.83\u00d7100100=1831001.83 = \\frac{1.83 \\times 100}{100} = \\frac{183}{100}<\/li>\n\n\n\n
  2. Check if the fraction can be simplified:<\/strong>
    To simplify, find the greatest common divisor (GCD) of the numerator (183) and the denominator (100).
    • Factors of 183: 1, 3, 61, 183<\/li>
    • Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100<\/li><\/ul>The only common factor is 1, meaning 183\/100 is already in simplest form.<\/li>\n\n\n\n
    • Interpretation:<\/strong>
      The fraction 183\/100 represents 183 parts out of 100, which is exactly 1.83 when converted back to a decimal.<\/li>\n\n\n\n
    • Optional – Mixed number form:<\/strong>
      You can express 1.83 as a mixed number: 1831001 \\frac{83}{100} But since the question asks for a simplified fraction, 183\/100 is appropriate.<\/li>\n<\/ol>\n\n\n\n
      \n\n\n\n

      Summary:<\/h3>\n\n\n\n
        \n
      • Converting decimals to fractions involves moving the decimal point to create a whole number numerator and using the corresponding power of 10 as denominator.<\/li>\n\n\n\n
      • Simplify the fraction by dividing numerator and denominator by their GCD.<\/li>\n\n\n\n
      • In this case, 1.83 equals 183100\\frac{183}{100}, which is already simplified.<\/li>\n<\/ul>\n\n\n\n

        If you want me to explain how to convert any other decimal to a fraction or how to simplify more complex fractions, just let me know!<\/p>\n","protected":false},"excerpt":{"rendered":"

        Rewrite as a simplified fraction: 1.83 The correct answer and explanation is: Answer:1.83 as a simplified fraction is 183\/100, which cannot be simplified further. Explanation: To convert the decimal 1.83 into a fraction, follow these steps: Summary: If you want me to explain how to convert any other decimal to a fraction or how to […]<\/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-24757","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24757","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=24757"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24757\/revisions"}],"predecessor-version":[{"id":24758,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24757\/revisions\/24758"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=24757"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=24757"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=24757"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}