Converting 0.022 to a Fraction
Step-by-step explanation of how to convert 0.022 to a fraction

Result

0.022 =
11
500

Step 1: Identify the number of decimal places

The decimal 0.022 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.022 × 1000 = 22

Step 3: Write as a fraction

0.022 =

22
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 22 and 1000.

GCD(22, 1000) = 2

Divide both the numerator and denominator by the GCD:

22
1000

=

22 ÷ 2
1000 ÷ 2

=

11
500
Related Conversions
Other decimal to fraction conversions you might find useful