Converting 8.201 to a Fraction
Step-by-step explanation of how to convert 8.201 to a fraction

Result

8.201 =
8201
1000
Mixed number:
8
201
1000

Step 1: Identify the number of decimal places

The decimal 8.201 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

8.201 × 1000 = 8201

Step 3: Write as a fraction

8.201 =

8201
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8201 and 1000.

GCD(8201, 1000) = 1

Divide both the numerator and denominator by the GCD:

8201
1000

=

8201 ÷ 1
1000 ÷ 1

=

8201
1000
Related Conversions
Other decimal to fraction conversions you might find useful