Converting 10.205808 to a Fraction
Step-by-step explanation of how to convert 10.205808 to a fraction
Result
10.205808 =
637863
62500
Mixed number:
10
12863
62500
Step 1: Identify the number of decimal places
The decimal 10.205808 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
10.205808 × 1000000 = 10205808
Step 3: Write as a fraction
10.205808 =
10205808
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10205808 and 1000000.
GCD(10205808, 1000000) = 16
Divide both the numerator and denominator by the GCD:
10205808
1000000
=
10205808 ÷ 16
1000000 ÷ 16
=
637863
62500
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