Converting 31.124 to a Fraction
Step-by-step explanation of how to convert 31.124 to a fraction

Result

31.124 =
7781
250
Mixed number:
31
31
250

Step 1: Identify the number of decimal places

The decimal 31.124 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

31.124 × 1000 = 31124

Step 3: Write as a fraction

31.124 =

31124
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31124 and 1000.

GCD(31124, 1000) = 4

Divide both the numerator and denominator by the GCD:

31124
1000

=

31124 ÷ 4
1000 ÷ 4

=

7781
250
Related Conversions
Other decimal to fraction conversions you might find useful