Converting 4.0205 to a Fraction
Step-by-step explanation of how to convert 4.0205 to a fraction

Result

4.0205 =
8041
2000
Mixed number:
4
41
2000

Step 1: Identify the number of decimal places

The decimal 4.0205 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.0205 × 10000 = 40205

Step 3: Write as a fraction

4.0205 =

40205
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 40205 and 10000.

GCD(40205, 10000) = 5

Divide both the numerator and denominator by the GCD:

40205
10000

=

40205 ÷ 5
10000 ÷ 5

=

8041
2000
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