Question 5

2 7/8

The result of the calculation 10 x 5/8 - 2 1/4 x 1 1/2 is 2 7/8. This indicates that after performing the operations correctly, this is the value obtained.

A) 8 1/4

Option A is incorrect as it suggests a value significantly higher than the calculated result. The operations involved do not yield a positive outcome that approaches this number, indicating a misunderstanding of the multiplication and subtraction involved.

B) 5 1/4

Option B is also incorrect. While it is a plausible value, the calculations do not support this outcome. The operations performed do not lead to a result close to 5 1/4, showing a miscalculation in either multiplication or subtraction.

C) 4 1/8

Option C is incorrect as well. It is evident that 4 1/8 is too high given the values involved in the calculations. The result falls below this value, indicating that the subtraction of the two products led to a lesser outcome than suggested by this option.

D) 2 7/8

Option D is the correct answer since it accurately reflects the result of the calculations performed. After computing 10 x 5/8 and subtracting the product of 2 1/4 and 1 1/2, the answer simplifies to 2 7/8, confirming its correctness.

Conclusion

The answer of 2 7/8 is definitively correct as it aligns with the proper execution of the arithmetic operations specified in the problem. Other options fail to represent the correct outcome due to overestimations of the results from the calculations. Thus, option D stands as the only valid answer.