Converting 13.7736 to a Fraction
Step-by-step explanation of how to convert 13.7736 to a fraction

Result

13.7736 =
17217
1250
Mixed number:
13
967
1250

Step 1: Identify the number of decimal places

The decimal 13.7736 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.7736 × 10000 = 137736

Step 3: Write as a fraction

13.7736 =

137736
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 137736 and 10000.

GCD(137736, 10000) = 8

Divide both the numerator and denominator by the GCD:

137736
10000

=

137736 ÷ 8
10000 ÷ 8

=

17217
1250
Related Conversions
Other decimal to fraction conversions you might find useful