Converting 31.882 to a Fraction
Step-by-step explanation of how to convert 31.882 to a fraction

Result

31.882 =
15941
500
Mixed number:
31
441
500

Step 1: Identify the number of decimal places

The decimal 31.882 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

31.882 × 1000 = 31882

Step 3: Write as a fraction

31.882 =

31882
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31882 and 1000.

GCD(31882, 1000) = 2

Divide both the numerator and denominator by the GCD:

31882
1000

=

31882 ÷ 2
1000 ÷ 2

=

15941
500
Related Conversions
Other decimal to fraction conversions you might find useful