10 x 5/8 - 2 1/4 x 1 1/2 =

Rationale

10 x 5/8 - 2 1/4 x 1 1/2 = 2 7/8.

To solve the expression, we first calculate each part: (10 × \frac{5}{8} = 6.25) and (2 \frac{1}{4} × 1 1/2 = 3.125). Subtracting these results gives (6.25 - 3.125 = 2.875), which is equivalent to (2 \frac{7}{8}).

A (8 1/4) YOUR ANSWER

This choice suggests a result of (8.25) or (8 \frac{1}{4}), which is incorrect as it does not reflect the subtraction of the two calculated values. The operations yield a value much lower than (8.25), leading to an incorrect interpretation of the expression.

B (5 1/4) YOUR ANSWER

This choice indicates a result of (5.25) or (5 \frac{1}{4}). However, the calculations demonstrate that the result of the expression is significantly less than (5.25). Thus, this option does not align with the outcome of the mathematical operations performed.

C (4 1/8) YOUR ANSWER

This choice represents (4.125) or (4 \frac{1}{8}), which again is incorrect. The value derived from the expression is still lower than (4.125), indicating that this option fails to represent the result of the calculation accurately.

D (2 7/8) CORRECT

This option correctly represents the final result of (2.875) or (2 \frac{7}{8}), aligning perfectly with our calculations. It accurately reflects the subtraction of the two computed products.

Conclusion

The result of the expression (10 × \frac{5}{8} - 2 \frac{1}{4} × 1 1/2) simplifies to (2 \frac{7}{8}). The other choices fail to match the calculations, emphasizing the importance of careful arithmetic operations to arrive at the correct answer. Thus, (2 \frac{7}{8}) is the only valid solution among the provided options.

10 x 5/8 - 2 1/4 x 1 1/2 =

10 x 5/8 - 2 1/4 x 1 1/2 = 2 7/8.

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