Converting 11.1625 to a Fraction
Step-by-step explanation of how to convert 11.1625 to a fraction
Result
11.1625 =
893
80
Mixed number:
11
13
80
Step 1: Identify the number of decimal places
The decimal 11.1625 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.1625 × 10000 = 111625
Step 3: Write as a fraction
11.1625 =
111625
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 111625 and 10000.
GCD(111625, 10000) = 125
Divide both the numerator and denominator by the GCD:
111625
10000
=
111625 ÷ 125
10000 ÷ 125
=
893
80
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