Converting 13.8192 to a Fraction
Step-by-step explanation of how to convert 13.8192 to a fraction

Result

13.8192 =
8637
625
Mixed number:
13
512
625

Step 1: Identify the number of decimal places

The decimal 13.8192 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.8192 × 10000 = 138192

Step 3: Write as a fraction

13.8192 =

138192
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 138192 and 10000.

GCD(138192, 10000) = 16

Divide both the numerator and denominator by the GCD:

138192
10000

=

138192 ÷ 16
10000 ÷ 16

=

8637
625
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