Converting 31.845 to a Fraction
Step-by-step explanation of how to convert 31.845 to a fraction

Result

31.845 =
6369
200
Mixed number:
31
169
200

Step 1: Identify the number of decimal places

The decimal 31.845 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

31.845 × 1000 = 31845

Step 3: Write as a fraction

31.845 =

31845
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31845 and 1000.

GCD(31845, 1000) = 5

Divide both the numerator and denominator by the GCD:

31845
1000

=

31845 ÷ 5
1000 ÷ 5

=

6369
200
Related Conversions
Other decimal to fraction conversions you might find useful