Converting 13.2725 to a Fraction
Step-by-step explanation of how to convert 13.2725 to a fraction

Result

13.2725 =
5309
400
Mixed number:
13
109
400

Step 1: Identify the number of decimal places

The decimal 13.2725 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.2725 × 10000 = 132725

Step 3: Write as a fraction

13.2725 =

132725
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 132725 and 10000.

GCD(132725, 10000) = 25

Divide both the numerator and denominator by the GCD:

132725
10000

=

132725 ÷ 25
10000 ÷ 25

=

5309
400
Related Conversions
Other decimal to fraction conversions you might find useful