Converting 11.81166 to a Fraction
Step-by-step explanation of how to convert 11.81166 to a fraction
Result
11.81166 =
590583
50000
Mixed number:
11
40583
50000
Step 1: Identify the number of decimal places
The decimal 11.81166 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.81166 × 100000 = 1181166
Step 3: Write as a fraction
11.81166 =
1181166
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1181166 and 100000.
GCD(1181166, 100000) = 2
Divide both the numerator and denominator by the GCD:
1181166
100000
=
1181166 ÷ 2
100000 ÷ 2
=
590583
50000
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