Converting 13.9875 to a Fraction
Step-by-step explanation of how to convert 13.9875 to a fraction

Result

13.9875 =
1119
80
Mixed number:
13
79
80

Step 1: Identify the number of decimal places

The decimal 13.9875 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.9875 × 10000 = 139875

Step 3: Write as a fraction

13.9875 =

139875
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 139875 and 10000.

GCD(139875, 10000) = 125

Divide both the numerator and denominator by the GCD:

139875
10000

=

139875 ÷ 125
10000 ÷ 125

=

1119
80
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