Converting 13.9412 to a Fraction
Step-by-step explanation of how to convert 13.9412 to a fraction

Result

13.9412 =
34853
2500
Mixed number:
13
2353
2500

Step 1: Identify the number of decimal places

The decimal 13.9412 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.9412 × 10000 = 139412

Step 3: Write as a fraction

13.9412 =

139412
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 139412 and 10000.

GCD(139412, 10000) = 4

Divide both the numerator and denominator by the GCD:

139412
10000

=

139412 ÷ 4
10000 ÷ 4

=

34853
2500
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