Final answer:
To find 4 2/3 divided by 3 1/2, convert the mixed numbers to improper fractions, 14/3 and 7/2, respectively, divide by multiplying by the reciprocal, and simplify to get the answer 7.
Step-by-step explanation:
The question asks which of the following is equal to 4 2/3 divided by 3 1/2. To compute the division of two mixed numbers, we first convert them to improper fractions. Thus, 4 2/3 becomes 14/3 and 3 1/2 becomes 7/2. Then, we divide the first fraction by the second which is the same as multiplying the first fraction by the reciprocal of the second fraction. So, 14/3 × 2/7 results in simplifying both 14 and 2 by 2 and 7 and 3 by 3. The resulting fractions are 7/1 and 1/1, multiplied together yields 7/1 × 1/1 equals to 7, which is our answer.