Converting 13.1566 to a Fraction
Step-by-step explanation of how to convert 13.1566 to a fraction
Result
13.1566 =
65783
5000
Mixed number:
13
783
5000
Step 1: Identify the number of decimal places
The decimal 13.1566 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
13.1566 × 10000 = 131566
Step 3: Write as a fraction
13.1566 =
131566
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 131566 and 10000.
GCD(131566, 10000) = 2
Divide both the numerator and denominator by the GCD:
131566
10000
=
131566 ÷ 2
10000 ÷ 2
=
65783
5000
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