Converting 3.202 to a Fraction
Step-by-step explanation of how to convert 3.202 to a fraction

Result

3.202 =
1601
500
Mixed number:
3
101
500

Step 1: Identify the number of decimal places

The decimal 3.202 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.202 × 1000 = 3202

Step 3: Write as a fraction

3.202 =

3202
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3202 and 1000.

GCD(3202, 1000) = 2

Divide both the numerator and denominator by the GCD:

3202
1000

=

3202 ÷ 2
1000 ÷ 2

=

1601
500
Related Conversions
Other decimal to fraction conversions you might find useful