Converting 13.9744 to a Fraction
Step-by-step explanation of how to convert 13.9744 to a fraction

Result

13.9744 =
8734
625
Mixed number:
13
609
625

Step 1: Identify the number of decimal places

The decimal 13.9744 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.9744 × 10000 = 139744

Step 3: Write as a fraction

13.9744 =

139744
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 139744 and 10000.

GCD(139744, 10000) = 16

Divide both the numerator and denominator by the GCD:

139744
10000

=

139744 ÷ 16
10000 ÷ 16

=

8734
625
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