Converting 23.945 to a Fraction
Step-by-step explanation of how to convert 23.945 to a fraction

Result

23.945 =
4789
200
Mixed number:
23
189
200

Step 1: Identify the number of decimal places

The decimal 23.945 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

23.945 × 1000 = 23945

Step 3: Write as a fraction

23.945 =

23945
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 23945 and 1000.

GCD(23945, 1000) = 5

Divide both the numerator and denominator by the GCD:

23945
1000

=

23945 ÷ 5
1000 ÷ 5

=

4789
200
Related Conversions
Other decimal to fraction conversions you might find useful