Final answer:
To find the quotient of 28 ÷ 4 2/3, convert the mixed number to an improper fraction, 14/3, then multiply 28 by the reciprocal, 3/14, to find the quotient of 6.
Step-by-step explanation:
The question asks to find the quotient of 28 ÷ 4 2/3. First, convert the mixed number 4 2/3 to an improper fraction which is 14/3. To perform the division, you change the division sign to multiplication and take the reciprocal of 14/3, which becomes 3/14. So, the expression will be 28 × 3/14. Simply cross multiply to get the result: 28 × 3 = 84, and since 84 divided by 14 equals 6, the quotient is 6.