7.45 as a Fraction

To convert 7.45 to a fraction you need to multiply 7.45/1 by 100/100 and you’ll get 745/100. This result can be further reduced to 149/20. Since this is an improper fraction you can also write it as a mixed number 7 9/20.

To convert 7.45 to a fraction you need to multiply 7.45/1 by 100/100 and you’ll get 745/100. This result can be further reduced to 149/20.

7.45 as a fraction

What Is 7.45 as a Fraction?

7.45 as a fraction in simplest form is 149/20. You can verify this answer by using a calculator to divide 149 by 20 and the result should be 7.45.

How to Convert 7.45 to a Fraction

Here are the steps to convert a decimal to a fraction, more specifically how to get 7.45 as a simplified fraction:

  1. Rewrite 7.45 as a fraction dividing it by 1.
    7.45 1
  2. Multiply the numerator and denominator by 100. Because 7.45 has two digits after the decimal point, you need to multiply by 102=100 to get rid of the decimal places.
    7.45 1
    ×
    100 100
    =
    745 100
  3. Divide 745 and 100 by their Greatest Common Factor (GCF), which in this case is 5.
    745 ÷ 5 100 ÷ 5
  4. So 7.45 as a fraction in simplest form is:
    149 20
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  5. Since the numerator is greater than the denominator, we are dealing with an improper fraction. This means we can also express 149/20 as a mixed number:
    7
    9 20