Converting 13.9748 to a Fraction
Step-by-step explanation of how to convert 13.9748 to a fraction

Result

13.9748 =
34937
2500
Mixed number:
13
2437
2500

Step 1: Identify the number of decimal places

The decimal 13.9748 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.9748 × 10000 = 139748

Step 3: Write as a fraction

13.9748 =

139748
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 139748 and 10000.

GCD(139748, 10000) = 4

Divide both the numerator and denominator by the GCD:

139748
10000

=

139748 ÷ 4
10000 ÷ 4

=

34937
2500
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