Converting 23.845 to a Fraction
Step-by-step explanation of how to convert 23.845 to a fraction

Result

23.845 =
4769
200
Mixed number:
23
169
200

Step 1: Identify the number of decimal places

The decimal 23.845 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

23.845 × 1000 = 23845

Step 3: Write as a fraction

23.845 =

23845
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 23845 and 1000.

GCD(23845, 1000) = 5

Divide both the numerator and denominator by the GCD:

23845
1000

=

23845 ÷ 5
1000 ÷ 5

=

4769
200
Related Conversions
Other decimal to fraction conversions you might find useful