Converting 4.0208 to a Fraction
Step-by-step explanation of how to convert 4.0208 to a fraction
Result
4.0208 =
2513
625
Mixed number:
4
13
625
Step 1: Identify the number of decimal places
The decimal 4.0208 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.0208 × 10000 = 40208
Step 3: Write as a fraction
4.0208 =
40208
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40208 and 10000.
GCD(40208, 10000) = 16
Divide both the numerator and denominator by the GCD:
40208
10000
=
40208 ÷ 16
10000 ÷ 16
=
2513
625
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