e) 3/4 * 1 1/4 * 7 1/2 * 2 1/4 : 7 1/2

1. Convert mixed numbers to improper fractions: 3/4 * 5/4 * 15/2 * 9/4 : 15/2.

2. Convert division to multiplication by the reciprocal: 3/4 * 5/4 * 15/2 * 9/4 * 2/15.

3. Simplify and multiply: (3 * 5 * 15 * 9 * 2) / (4 * 4 * 2 * 15 * 4) = (3 * 9) / (4 * 4 * 4) = 27/64.