Converting 0.118 to a Fraction
Step-by-step explanation of how to convert 0.118 to a fraction

Result

0.118 =
59
500

Step 1: Identify the number of decimal places

The decimal 0.118 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.118 × 1000 = 118

Step 3: Write as a fraction

0.118 =

118
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 118 and 1000.

GCD(118, 1000) = 2

Divide both the numerator and denominator by the GCD:

118
1000

=

118 ÷ 2
1000 ÷ 2

=

59
500
Related Conversions
Other decimal to fraction conversions you might find useful