Converting 13.8094 to a Fraction
Step-by-step explanation of how to convert 13.8094 to a fraction

Result

13.8094 =
69047
5000
Mixed number:
13
4047
5000

Step 1: Identify the number of decimal places

The decimal 13.8094 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.8094 × 10000 = 138094

Step 3: Write as a fraction

13.8094 =

138094
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 138094 and 10000.

GCD(138094, 10000) = 2

Divide both the numerator and denominator by the GCD:

138094
10000

=

138094 ÷ 2
10000 ÷ 2

=

69047
5000
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