Converting 0.135744 to a Fraction
Step-by-step explanation of how to convert 0.135744 to a fraction

Result

0.135744 =
2121
15625

Step 1: Identify the number of decimal places

The decimal 0.135744 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.135744 × 1000000 = 135744

Step 3: Write as a fraction

0.135744 =

135744
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 135744 and 1000000.

GCD(135744, 1000000) = 64

Divide both the numerator and denominator by the GCD:

135744
1000000

=

135744 ÷ 64
1000000 ÷ 64

=

2121
15625
Related Conversions
Other decimal to fraction conversions you might find useful