Converting 15.204 to a Fraction
Step-by-step explanation of how to convert 15.204 to a fraction

Result

15.204 =
3801
250
Mixed number:
15
51
250

Step 1: Identify the number of decimal places

The decimal 15.204 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

15.204 × 1000 = 15204

Step 3: Write as a fraction

15.204 =

15204
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 15204 and 1000.

GCD(15204, 1000) = 4

Divide both the numerator and denominator by the GCD:

15204
1000

=

15204 ÷ 4
1000 ÷ 4

=

3801
250
Related Conversions
Other decimal to fraction conversions you might find useful