Converting 13.9975 to a Fraction
Step-by-step explanation of how to convert 13.9975 to a fraction

Result

13.9975 =
5599
400
Mixed number:
13
399
400

Step 1: Identify the number of decimal places

The decimal 13.9975 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.9975 × 10000 = 139975

Step 3: Write as a fraction

13.9975 =

139975
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 139975 and 10000.

GCD(139975, 10000) = 25

Divide both the numerator and denominator by the GCD:

139975
10000

=

139975 ÷ 25
10000 ÷ 25

=

5599
400
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