Final answer:
To evaluate the expression (34/8 - 16/3) - 14/9, perform the calculations step by step: 34/8 = 4.25, 16/3 = 5.33 repeating, subtract to get -1.08 repeating, and then subtract 14/9 to get approximately -2.638 repeating.
Step-by-step explanation:
To evaluate the expression (34/8 - 16/3) - 14/9, we need to perform the calculations step by step.
Step 1: Calculate 34/8 and 16/3 separately. 34/8 is equal to 4.25 and 16/3 is equal to 5.33 repeating (or 5.333...).
Step 2: Subtract 5.33 from 4.25, which gives us -1.08 repeating (or -1.083...).
Step 3: Finally, subtract 14/9 from -1.083.... 14/9 is approximately 1.555... So the final result is approximately -2.638 repeating (or -2.638...).
Therefore, the correct answer is D) -2.638 repeating (or -2.638...).