Converting 13.7124 to a Fraction
Step-by-step explanation of how to convert 13.7124 to a fraction

Result

13.7124 =
34281
2500
Mixed number:
13
1781
2500

Step 1: Identify the number of decimal places

The decimal 13.7124 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.7124 × 10000 = 137124

Step 3: Write as a fraction

13.7124 =

137124
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 137124 and 10000.

GCD(137124, 10000) = 4

Divide both the numerator and denominator by the GCD:

137124
10000

=

137124 ÷ 4
10000 ÷ 4

=

34281
2500
Related Conversions
Other decimal to fraction conversions you might find useful