The first step to solve this problem is dividing 7 1/2 and 2/3. When dividing a fraction and a mixed number, you first have to make the mixed number into a improper fraction. To do that, you multiply the whole number by the denominator then add the numerator. When you get that answer, you use that as your new numerator and use the same denominator as the last fraction. For example, you multiply 7 and 2 then plus one. The answer to that is 15/2.
The second step is to use copy, dot, flop. That phrase means you copy your first fraction, add a dot instead of a division sign which represents multiplication, and flop the denominator and numerator with the other fraction. When multiplying fractions you multiply across. For example 15/2 times 3/2.
Answer: 15/2 times 3/2= 11 cups