To convert the improper fraction 24/5 into a mixed number, we start by dividing the numerator by the denominator. In this case, we divide 24 by 5.
The division tells us that 5 goes into 24 a total of 4 times, because 5 x 4 = 20. We then calculate the remainder, which is 24 – 20 = 4.
This means that 24/5 can be expressed as 4 whole parts and a remainder of 4 over the original denominator, which is 5. Therefore, we can write 24/5 as the mixed number 4 4/5.