Converting 11.8114 to a Fraction
Step-by-step explanation of how to convert 11.8114 to a fraction
Result
11.8114 =
59057
5000
Mixed number:
11
4057
5000
Step 1: Identify the number of decimal places
The decimal 11.8114 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.8114 × 10000 = 118114
Step 3: Write as a fraction
11.8114 =
118114
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 118114 and 10000.
GCD(118114, 10000) = 2
Divide both the numerator and denominator by the GCD:
118114
10000
=
118114 ÷ 2
10000 ÷ 2
=
59057
5000
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