Final answer:
To divide 4 11/16 by 1 1/4, convert both mixed numbers to improper fractions, then multiply the first fraction by the reciprocal of the second fraction.
Step-by-step explanation:
To divide 4 11/16 by 1 1/4, you can convert both mixed numbers to improper fractions. 4 11/16 is equivalent to (4 * 16 + 11)/16 = 75/16, and 1 1/4 is equivalent to (1 * 4 + 1)/4 = 5/4. Next, multiply the first fraction by the reciprocal of the second fraction. That means you need to multiply 75/16 by 4/5: (75/16) * (4/5) = (75 * 4) / (16 * 5) = 300/80 = 15/4 = 3 3/4.