Final answer:
The quotient of 11 1/5 divided by 2 3/4 is 224/55.
Step-by-step explanation:
To find the quotient of 11 1/5 divided by 2 3/4, we first convert the mixed numbers into improper fractions. 11 1/5 is equivalent to 56/5 and 2 3/4 is equivalent to 11/4. Then, we invert the second fraction and multiply the two fractions together. So, (56/5) / (11/4) becomes (56/5) * (4/11). Simplifying this multiplication gives us a final answer of 224/55.