Converting 0.1567 to a Fraction
Step-by-step explanation of how to convert 0.1567 to a fraction

Result

0.1567 =
1567
10000

Step 1: Identify the number of decimal places

The decimal 0.1567 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.1567 × 10000 = 1567

Step 3: Write as a fraction

0.1567 =

1567
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1567 and 10000.

GCD(1567, 10000) = 1

Divide both the numerator and denominator by the GCD:

1567
10000

=

1567 ÷ 1
10000 ÷ 1

=

1567
10000
Related Conversions
Other decimal to fraction conversions you might find useful