3. 4 1/8 / 1 5/16 and 4. 2 2/3 / 4/9

Answer

To solve problem 3: 4 1/8 divided by 1 5/16. First, convert both mixed numbers into improper fractions. 4 1/8 becomes 33/8, and 1 5/16 becomes 21/16. Next, multiply the first fraction by the reciprocal of the second fraction: (33/8) * (16/21). Simplify before multiplying: 16 divided by 8 is 2, and 33 and 21 can both be divided by 3 (yielding 11 and 7). This leaves (11 * 2) / (1 * 7) = 22/7, which converts to the mixed number 3 1/7. To solve problem 4: 2 2/3 divided by 4/9. First, convert the mixed number 2 2/3 into an improper fraction, which is 8/3. Next, multiply by the reciprocal of 4/9, which is 9/4. The expression is (8/3) * (9/4). Simplify before multiplying: 8 divided by 4 is 2, and 9 divided by 3 is 3. This leaves 2 * 3 = 6.