Write both fractions as improper fractions. 7 1/2 is 15/2 (fifteen halves); 1 1/2=3/2 (three halves). Now the problem is effectively 15/3 because the dividend and the divisor are both in terms of halves. You might as well consider calves instead of halves, because the answer will still be 15/3=5.
However the check should be 5 times 1 1/2= 5+5/2 (five plus five halves)=5+2 1/2=7 1/2. So Clarice got it wrong!