Converting 0.11566 to a Fraction
Step-by-step explanation of how to convert 0.11566 to a fraction
Result
0.11566 =
5783
50000
Step 1: Identify the number of decimal places
The decimal 0.11566 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.11566 × 100000 = 11566
Step 3: Write as a fraction
0.11566 =
11566
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11566 and 100000.
GCD(11566, 100000) = 2
Divide both the numerator and denominator by the GCD:
11566
100000
=
11566 ÷ 2
100000 ÷ 2
=
5783
50000
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