Converting 13.6125 to a Fraction
Step-by-step explanation of how to convert 13.6125 to a fraction

Result

13.6125 =
1089
80
Mixed number:
13
49
80

Step 1: Identify the number of decimal places

The decimal 13.6125 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.6125 × 10000 = 136125

Step 3: Write as a fraction

13.6125 =

136125
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 136125 and 10000.

GCD(136125, 10000) = 125

Divide both the numerator and denominator by the GCD:

136125
10000

=

136125 ÷ 125
10000 ÷ 125

=

1089
80
Related Conversions
Other decimal to fraction conversions you might find useful