Final answer:
The restaurant can make 6 13/17 casseroles with the given amount of pasta.
Step-by-step explanation:
To find out how many casseroles can be made, we need to divide the total amount of pasta by the amount of pasta required for each casserole dish.
The restaurant has 13 3/5 pounds of pasta, and each cassorole dish requires 2 5/6 pounds of pasta. To divide fractions, we need to find the reciprocal of the divisor (2 5/6) and then multiply it by the dividend (13 3/5).
Reciprocal of 2 5/6 is 6/17. Multiplying 13 3/5 by the reciprocal gives us 115/17.
Therefore, the restaurant can make 115/17 or 6 13/17 casseroles with the given amount of pasta.