Converting 13.21875 to a Fraction
Step-by-step explanation of how to convert 13.21875 to a fraction

Result

13.21875 =
423
32
Mixed number:
13
7
32

Step 1: Identify the number of decimal places

The decimal 13.21875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

13.21875 × 100000 = 1321875

Step 3: Write as a fraction

13.21875 =

1321875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1321875 and 100000.

GCD(1321875, 100000) = 3125

Divide both the numerator and denominator by the GCD:

1321875
100000

=

1321875 ÷ 3125
100000 ÷ 3125

=

423
32
Related Conversions
Other decimal to fraction conversions you might find useful