Converting 0.138 to a Fraction
Step-by-step explanation of how to convert 0.138 to a fraction

Result

0.138 =
69
500

Step 1: Identify the number of decimal places

The decimal 0.138 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.138 × 1000 = 138

Step 3: Write as a fraction

0.138 =

138
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 138 and 1000.

GCD(138, 1000) = 2

Divide both the numerator and denominator by the GCD:

138
1000

=

138 ÷ 2
1000 ÷ 2

=

69
500
Related Conversions
Other decimal to fraction conversions you might find useful