Converting 11.8196 to a Fraction
Step-by-step explanation of how to convert 11.8196 to a fraction
Result
11.8196 =
29549
2500
Mixed number:
11
2049
2500
Step 1: Identify the number of decimal places
The decimal 11.8196 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.8196 × 10000 = 118196
Step 3: Write as a fraction
11.8196 =
118196
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 118196 and 10000.
GCD(118196, 10000) = 4
Divide both the numerator and denominator by the GCD:
118196
10000
=
118196 ÷ 4
10000 ÷ 4
=
29549
2500
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