4 1/4 ➗ 3/4

To divide 4 1/4 by 3/4, we first need to convert the mixed number 4 1/4 to an improper fraction.

4 1/4 can be written as (4*4 + 1)/4 = 17/4.

Now, we divide 17/4 by 3/4:

(17/4) ÷ (3/4) = 17/4 * 4/3 = 17/3.

Therefore, 4 1/4 ÷ 3/4 = 17/3 or 5 2/3.