what is the simplest form of the number 23 5/4 show all your work

To find the simplest form of the number 23 5/4, it is necessary to convert the mixed number into an improper fraction and then simplify it.

Step 1: Convert the mixed number into an improper fraction.
23 5/4 = (23 * 4 + 5)/4 = 92/4 + 5/4 = 97/4

Step 2: Simplify the fraction.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, and divide both by it.
The GCD of 97 and 4 is 1.

97 ÷ 1 / 4 ÷ 1 = 97/4

Therefore, the simplest form of 23 5/4 is 97/4.