Converting 11.1872 to a Fraction
Step-by-step explanation of how to convert 11.1872 to a fraction
Result
11.1872 =
6992
625
Mixed number:
11
117
625
Step 1: Identify the number of decimal places
The decimal 11.1872 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.1872 × 10000 = 111872
Step 3: Write as a fraction
11.1872 =
111872
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 111872 and 10000.
GCD(111872, 10000) = 16
Divide both the numerator and denominator by the GCD:
111872
10000
=
111872 ÷ 16
10000 ÷ 16
=
6992
625
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