2 5/8 * (5/7 - 3/5) - 9 : 2 1/4

Convert mixed numbers to improper fractions: 2 5/8 = 21/8 and 2 1/4 = 9/4.

Calculate the expression inside the parentheses: 5/7 - 3/5 = (25 - 21)/35 = 4/35.

Perform multiplication and division from left to right: (21/8) * (4/35) = 84/280 = 3/10.

9 : 9/4 = 9 * 4/9 = 4.

Subtract the results: 3/10 - 4 = 3/10 - 40/10 = -37/10.

The final answer is -37/10 or -3.7.