Converting 13.8198 to a Fraction
Step-by-step explanation of how to convert 13.8198 to a fraction
Result
13.8198 =
69099
5000
Mixed number:
13
4099
5000
Step 1: Identify the number of decimal places
The decimal 13.8198 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
13.8198 × 10000 = 138198
Step 3: Write as a fraction
13.8198 =
138198
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 138198 and 10000.
GCD(138198, 10000) = 2
Divide both the numerator and denominator by the GCD:
138198
10000
=
138198 ÷ 2
10000 ÷ 2
=
69099
5000
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