Converting 0.201 to a Fraction
Step-by-step explanation of how to convert 0.201 to a fraction

Result

0.201 =
201
1000

Step 1: Identify the number of decimal places

The decimal 0.201 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.201 × 1000 = 201

Step 3: Write as a fraction

0.201 =

201
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 201 and 1000.

GCD(201, 1000) = 1

Divide both the numerator and denominator by the GCD:

201
1000

=

201 ÷ 1
1000 ÷ 1

=

201
1000
Related Conversions
Other decimal to fraction conversions you might find useful