Converting 13.89872 to a Fraction
Step-by-step explanation of how to convert 13.89872 to a fraction

Result

13.89872 =
86867
6250
Mixed number:
13
5617
6250

Step 1: Identify the number of decimal places

The decimal 13.89872 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

13.89872 × 100000 = 1389872

Step 3: Write as a fraction

13.89872 =

1389872
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1389872 and 100000.

GCD(1389872, 100000) = 16

Divide both the numerator and denominator by the GCD:

1389872
100000

=

1389872 ÷ 16
100000 ÷ 16

=

86867
6250
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