Converting 11.8625 to a Fraction
Step-by-step explanation of how to convert 11.8625 to a fraction
Result
11.8625 =
949
80
Mixed number:
11
69
80
Step 1: Identify the number of decimal places
The decimal 11.8625 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.8625 × 10000 = 118625
Step 3: Write as a fraction
11.8625 =
118625
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 118625 and 10000.
GCD(118625, 10000) = 125
Divide both the numerator and denominator by the GCD:
118625
10000
=
118625 ÷ 125
10000 ÷ 125
=
949
80
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