To solve the expression 10 9/16 - (3 11/12 + 4 4/9), follow these steps:
Convert all mixed numbers to improper fractions: 10 9/16 = (10 * 16 + 9) / 16 = 169/16 3 11/12 = (3 * 12 + 11) / 12 = 47/12 4 4/9 = (4 * 9 + 4) / 9 = 40/9
Perform addition inside parentheses: (47/12 + 40/9) = (47 * 9 + 40 * 12) / (12 * 9) = 883/108
Subtract the sum from the first number: 169/16 - (883/108) = (169 * 108 - 883 * 16) / (16 * 108) = -23039/1728
Therefore, the answer is -23039/1728.
