Converting 1.0208 to a Fraction
Step-by-step explanation of how to convert 1.0208 to a fraction

Result

1.0208 =
638
625
Mixed number:
1
13
625

Step 1: Identify the number of decimal places

The decimal 1.0208 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.0208 × 10000 = 10208

Step 3: Write as a fraction

1.0208 =

10208
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10208 and 10000.

GCD(10208, 10000) = 16

Divide both the numerator and denominator by the GCD:

10208
10000

=

10208 ÷ 16
10000 ÷ 16

=

638
625
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