Converting 12.9725 to a Fraction
Step-by-step explanation of how to convert 12.9725 to a fraction

Result

12.9725 =
5189
400
Mixed number:
12
389
400

Step 1: Identify the number of decimal places

The decimal 12.9725 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

12.9725 × 10000 = 129725

Step 3: Write as a fraction

12.9725 =

129725
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 129725 and 10000.

GCD(129725, 10000) = 25

Divide both the numerator and denominator by the GCD:

129725
10000

=

129725 ÷ 25
10000 ÷ 25

=

5189
400
Related Conversions
Other decimal to fraction conversions you might find useful