Converting 28.942 to a Fraction
Step-by-step explanation of how to convert 28.942 to a fraction

Result

28.942 =
14471
500
Mixed number:
28
471
500

Step 1: Identify the number of decimal places

The decimal 28.942 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

28.942 × 1000 = 28942

Step 3: Write as a fraction

28.942 =

28942
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 28942 and 1000.

GCD(28942, 1000) = 2

Divide both the numerator and denominator by the GCD:

28942
1000

=

28942 ÷ 2
1000 ÷ 2

=

14471
500
Related Conversions
Other decimal to fraction conversions you might find useful