Converting 15.625 to a Fraction
Step-by-step explanation of how to convert 15.625 to a fraction

Result

15.625 =
125
8
Mixed number:
15
5
8

Step 1: Identify the number of decimal places

The decimal 15.625 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

15.625 × 1000 = 15625

Step 3: Write as a fraction

15.625 =

15625
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 15625 and 1000.

GCD(15625, 1000) = 125

Divide both the numerator and denominator by the GCD:

15625
1000

=

15625 ÷ 125
1000 ÷ 125

=

125
8
Related Conversions
Other decimal to fraction conversions you might find useful