Converting 8.205 to a Fraction
Step-by-step explanation of how to convert 8.205 to a fraction

Result

8.205 =
1641
200
Mixed number:
8
41
200

Step 1: Identify the number of decimal places

The decimal 8.205 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

8.205 × 1000 = 8205

Step 3: Write as a fraction

8.205 =

8205
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8205 and 1000.

GCD(8205, 1000) = 5

Divide both the numerator and denominator by the GCD:

8205
1000

=

8205 ÷ 5
1000 ÷ 5

=

1641
200
Related Conversions
Other decimal to fraction conversions you might find useful