Converting 8.0205 to a Fraction
Step-by-step explanation of how to convert 8.0205 to a fraction

Result

8.0205 =
16041
2000
Mixed number:
8
41
2000

Step 1: Identify the number of decimal places

The decimal 8.0205 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.0205 × 10000 = 80205

Step 3: Write as a fraction

8.0205 =

80205
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 80205 and 10000.

GCD(80205, 10000) = 5

Divide both the numerator and denominator by the GCD:

80205
10000

=

80205 ÷ 5
10000 ÷ 5

=

16041
2000
Related Conversions
Other decimal to fraction conversions you might find useful