Converting 13.8166 to a Fraction
Step-by-step explanation of how to convert 13.8166 to a fraction
Result
13.8166 =
69083
5000
Mixed number:
13
4083
5000
Step 1: Identify the number of decimal places
The decimal 13.8166 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
13.8166 × 10000 = 138166
Step 3: Write as a fraction
13.8166 =
138166
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 138166 and 10000.
GCD(138166, 10000) = 2
Divide both the numerator and denominator by the GCD:
138166
10000
=
138166 ÷ 2
10000 ÷ 2
=
69083
5000
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