Converting 40.944 to a Fraction
Step-by-step explanation of how to convert 40.944 to a fraction

Result

40.944 =
5118
125
Mixed number:
40
118
125

Step 1: Identify the number of decimal places

The decimal 40.944 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

40.944 × 1000 = 40944

Step 3: Write as a fraction

40.944 =

40944
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 40944 and 1000.

GCD(40944, 1000) = 8

Divide both the numerator and denominator by the GCD:

40944
1000

=

40944 ÷ 8
1000 ÷ 8

=

5118
125
Related Conversions
Other decimal to fraction conversions you might find useful