Converting 0.1534 to a Fraction
Step-by-step explanation of how to convert 0.1534 to a fraction

Result

0.1534 =
767
5000

Step 1: Identify the number of decimal places

The decimal 0.1534 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.1534 × 10000 = 1534

Step 3: Write as a fraction

0.1534 =

1534
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1534 and 10000.

GCD(1534, 10000) = 2

Divide both the numerator and denominator by the GCD:

1534
10000

=

1534 ÷ 2
10000 ÷ 2

=

767
5000
Related Conversions
Other decimal to fraction conversions you might find useful