Converting 13.6748 to a Fraction
Step-by-step explanation of how to convert 13.6748 to a fraction

Result

13.6748 =
34187
2500
Mixed number:
13
1687
2500

Step 1: Identify the number of decimal places

The decimal 13.6748 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.6748 × 10000 = 136748

Step 3: Write as a fraction

13.6748 =

136748
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 136748 and 10000.

GCD(136748, 10000) = 4

Divide both the numerator and denominator by the GCD:

136748
10000

=

136748 ÷ 4
10000 ÷ 4

=

34187
2500
Related Conversions
Other decimal to fraction conversions you might find useful