Converting 28.944 to a Fraction
Step-by-step explanation of how to convert 28.944 to a fraction

Result

28.944 =
3618
125
Mixed number:
28
118
125

Step 1: Identify the number of decimal places

The decimal 28.944 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

28.944 × 1000 = 28944

Step 3: Write as a fraction

28.944 =

28944
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 28944 and 1000.

GCD(28944, 1000) = 8

Divide both the numerator and denominator by the GCD:

28944
1000

=

28944 ÷ 8
1000 ÷ 8

=

3618
125
Related Conversions
Other decimal to fraction conversions you might find useful