Converting 13.1725 to a Fraction
Step-by-step explanation of how to convert 13.1725 to a fraction

Result

13.1725 =
5269
400
Mixed number:
13
69
400

Step 1: Identify the number of decimal places

The decimal 13.1725 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.1725 × 10000 = 131725

Step 3: Write as a fraction

13.1725 =

131725
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 131725 and 10000.

GCD(131725, 10000) = 25

Divide both the numerator and denominator by the GCD:

131725
10000

=

131725 ÷ 25
10000 ÷ 25

=

5269
400
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