Converting 20.2 to a Fraction
Step-by-step explanation of how to convert 20.2 to a fraction

Result

20.2 =
101
5
Mixed number:
20
1
5

Step 1: Identify the number of decimal places

The decimal 20.2 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

20.2 × 10 = 202

Step 3: Write as a fraction

20.2 =

202
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 202 and 10.

GCD(202, 10) = 2

Divide both the numerator and denominator by the GCD:

202
10

=

202 ÷ 2
10 ÷ 2

=

101
5
Related Conversions
Other decimal to fraction conversions you might find useful