Converting 23.458 to a Fraction
Step-by-step explanation of how to convert 23.458 to a fraction

Result

23.458 =
11729
500
Mixed number:
23
229
500

Step 1: Identify the number of decimal places

The decimal 23.458 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

23.458 × 1000 = 23458

Step 3: Write as a fraction

23.458 =

23458
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 23458 and 1000.

GCD(23458, 1000) = 2

Divide both the numerator and denominator by the GCD:

23458
1000

=

23458 ÷ 2
1000 ÷ 2

=

11729
500
Related Conversions
Other decimal to fraction conversions you might find useful