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Two Methods:Converting the Fraction to DecimalDirect Multiplication by 100

Do you have an improper fraction, and want to convert it to a percentage? You can do that in a few simple steps:

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Method 1 of 2: Converting the Fraction to Decimal

  1. Convert an Improper Fraction to Percent Step 1.jpg
    1
    Divide the numerator of the fraction by the denominator. For example, if you had 13/8, you would divide 13 by 8 to get 1.625.
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  2. Convert an Improper Fraction to Percent Step 2.jpg
    2
    Multiply the result by 100, or move the decimal point two spaces to the right, to get a percent. For example, 1.625 as a percent would be 162.5.
  3. Convert an Improper Fraction to Percent Step 3.jpg
    3
    Add a percent (%) sign so others know that the number is being compared to 100.
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Method 2 of 2: Direct Multiplication by 100

  1. Convert an Improper Fraction to Percent Step 4.jpg
    1
    Write a math sentence that shows the multiplication of the fraction by 100. For example, if you wanted to convert 13/8 to percent, you would multiply 13/8 by 100/1.
  2. Convert an Improper Fraction to Percent Step 5.jpg
    2
    Multiply the fractions. To do this, multiply the numerators and denominators. Remember that the denominators do not have to be like.
  3. 3
    Simplify as needed. Convert the fraction to a decimal; divide the top by the bottom. In the example given above, 1300/8 would be 162.5 as a decimal. Congratulations - you are done!
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Convert an Improper Fraction to Percent Step 6.jpg


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Categories: Fractions | Conversion Aids

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