Converting 11.8225 to a Fraction
Step-by-step explanation of how to convert 11.8225 to a fraction
Result
11.8225 =
4729
400
Mixed number:
11
329
400
Step 1: Identify the number of decimal places
The decimal 11.8225 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.8225 × 10000 = 118225
Step 3: Write as a fraction
11.8225 =
118225
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 118225 and 10000.
GCD(118225, 10000) = 25
Divide both the numerator and denominator by the GCD:
118225
10000
=
118225 ÷ 25
10000 ÷ 25
=
4729
400
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