Converting 13.3678 to a Fraction
Step-by-step explanation of how to convert 13.3678 to a fraction
Result
13.3678 =
66839
5000
Mixed number:
13
1839
5000
Step 1: Identify the number of decimal places
The decimal 13.3678 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
13.3678 × 10000 = 133678
Step 3: Write as a fraction
13.3678 =
133678
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 133678 and 10000.
GCD(133678, 10000) = 2
Divide both the numerator and denominator by the GCD:
133678
10000
=
133678 ÷ 2
10000 ÷ 2
=
66839
5000
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