Converting 13.7376 to a Fraction
Step-by-step explanation of how to convert 13.7376 to a fraction

Result

13.7376 =
8586
625
Mixed number:
13
461
625

Step 1: Identify the number of decimal places

The decimal 13.7376 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.7376 × 10000 = 137376

Step 3: Write as a fraction

13.7376 =

137376
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 137376 and 10000.

GCD(137376, 10000) = 16

Divide both the numerator and denominator by the GCD:

137376
10000

=

137376 ÷ 16
10000 ÷ 16

=

8586
625
Related Conversions
Other decimal to fraction conversions you might find useful