{"id":29515,"date":"2025-06-21T05:33:03","date_gmt":"2025-06-21T05:33:03","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=29515"},"modified":"2025-06-21T05:33:04","modified_gmt":"2025-06-21T05:33:04","slug":"convert-the-following-to-mixed-fractions-and-simplify","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/convert-the-following-to-mixed-fractions-and-simplify\/","title":{"rendered":"Convert the following to mixed fractions and simplify"},"content":{"rendered":"\n

Convert the following to mixed fractions and simplify: 11_ 8.1 = 12 50.45 = 13 17.084 = 14.10.75 =13.33 =<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Here are the correct answers, with each decimal converted to a mixed number<\/strong> and simplified<\/strong>:<\/p>\n\n\n\n

\n\n\n\n

11. 8.1 =<\/strong>
\u27a1\ufe0f 8 1\/10<\/strong><\/p>\n\n\n\n

Explanation<\/strong>:
The whole number is 8. The decimal part is 0.1, which is 1\/10. So, 8.1 = 8 1\/10.<\/p>\n\n\n\n

\n\n\n\n

12. 50.45 =<\/strong>
\u27a1\ufe0f 50 9\/20<\/strong><\/p>\n\n\n\n

Explanation<\/strong>:
The whole number is 50. The decimal part is 0.45.
To write 0.45 as a fraction:
0.45 = 45\/100
Simplify 45\/100 by dividing both numerator and denominator by 5:
45 \u00f7 5 = 9, 100 \u00f7 5 = 20
So, 0.45 = 9\/20.
Therefore, 50.45 = 50 9\/20.<\/p>\n\n\n\n

\n\n\n\n

13. 17.084 =<\/strong>
\u27a1\ufe0f 17 21\/250<\/strong><\/p>\n\n\n\n

Explanation<\/strong>:
The whole number is 17. The decimal part is 0.084.
0.084 = 84\/1000
Simplify 84\/1000: Divide both by 4
84 \u00f7 4 = 21, 1000 \u00f7 4 = 250
So, 0.084 = 21\/250
Therefore, 17.084 = 17 21\/250<\/p>\n\n\n\n

\n\n\n\n

14. 10.75 \u2013 13.33 =<\/strong>
First, do the subtraction:
10.75 \u2013 13.33 = \u20132.58<\/p>\n\n\n\n

Convert \u20132.58 to a mixed number:
\u27a1\ufe0f \u20132 29\/50<\/strong><\/p>\n\n\n\n

Explanation<\/strong>:
\u20132.58 = \u2013(2 + 0.58)
0.58 = 58\/100 \u2192 Simplify by dividing by 2:
58 \u00f7 2 = 29, 100 \u00f7 2 = 50
So, 0.58 = 29\/50
Therefore, \u20132.58 = \u20132 29\/50<\/p>\n\n\n\n

\n\n\n\n

Summary of Answers:<\/h3>\n\n\n\n
    \n
  1. 8.1 = 8 1\/10<\/strong><\/li>\n\n\n\n
  2. 50.45 = 50 9\/20<\/strong><\/li>\n\n\n\n
  3. 17.084 = 17 21\/250<\/strong><\/li>\n\n\n\n
  4. 10.75 \u2013 13.33 = \u20132 29\/50<\/strong><\/li>\n<\/ol>\n\n\n\n
    \n\n\n\n

    General Process Explanation<\/h3>\n\n\n\n

    To convert a decimal to a mixed number, start by separating the whole number part<\/strong> from the decimal part<\/strong>. For example, in 8.1, the whole number is 8, and the decimal is 0.1. The decimal portion is then converted into a fraction by writing it over a power of 10. For instance, 0.1 becomes 1\/10 because the digit is in the tenths place. If the decimal has two digits, like 0.45, you write it over 100, making 45\/100, and then simplify by dividing the numerator and denominator by their greatest common factor. This step ensures the resulting fraction is in its simplest form.<\/p>\n\n\n\n

    The same applies to decimals with three places, such as 0.084, which becomes 84\/1000. Again, reduce it to the lowest terms by finding the greatest common factor of 84 and 1000, giving 21\/250.<\/p>\n\n\n\n

    If the decimal operation involves subtraction, like 10.75 \u2013 13.33, perform the arithmetic first. In this case, it results in \u20132.58. Then convert 0.58 to a fraction (58\/100), simplify to 29\/50, and finally write the result as a negative mixed number: \u20132 29\/50.<\/p>\n\n\n\n

    This approach ensures accuracy in converting decimal numbers to simplified mixed numbers, a valuable skill in both basic arithmetic and practical measurement tasks.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    Convert the following to mixed fractions and simplify: 11_ 8.1 = 12 50.45 = 13 17.084 = 14.10.75 =13.33 = The Correct Answer and Explanation is: Here are the correct answers, with each decimal converted to a mixed number and simplified: 11. 8.1 =\u27a1\ufe0f 8 1\/10 Explanation:The whole number is 8. The decimal part is […]<\/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-29515","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29515","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=29515"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29515\/revisions"}],"predecessor-version":[{"id":29518,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29515\/revisions\/29518"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=29515"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=29515"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=29515"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}