Converting 13.71875 to a Fraction
Step-by-step explanation of how to convert 13.71875 to a fraction

Result

13.71875 =
439
32
Mixed number:
13
23
32

Step 1: Identify the number of decimal places

The decimal 13.71875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

13.71875 × 100000 = 1371875

Step 3: Write as a fraction

13.71875 =

1371875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1371875 and 100000.

GCD(1371875, 100000) = 3125

Divide both the numerator and denominator by the GCD:

1371875
100000

=

1371875 ÷ 3125
100000 ÷ 3125

=

439
32
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