Converting 11.65808 to a Fraction
Step-by-step explanation of how to convert 11.65808 to a fraction
Result
11.65808 =
72863
6250
Mixed number:
11
4113
6250
Step 1: Identify the number of decimal places
The decimal 11.65808 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.65808 × 100000 = 1165808
Step 3: Write as a fraction
11.65808 =
1165808
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1165808 and 100000.
GCD(1165808, 100000) = 16
Divide both the numerator and denominator by the GCD:
1165808
100000
=
1165808 ÷ 16
100000 ÷ 16
=
72863
6250
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