To convert the improper fraction 23/7 into a mixed number, we first divide the numerator (23) by the denominator (7).
When we divide 23 by 7, we find that 7 goes into 23 three times, which gives us:
3 x 7 = 21.
Next, we subtract this result from the numerator:
23 – 21 = 2.
This means we have a whole number of 3 and a remainder of 2. Thus, we can express 23/7 as:
3 with a remainder of 2 over the original denominator 7.
Therefore, the mixed number representation of 23/7 is:
3 2/7.