Which statement about the answer to this problem is most accurate? \( \frac{7}{8}-\frac{3}{4}=\frac{1}{8} \) The answer \( \frac{1}{8} \) is reasonable because \( \frac{7}{8} \) and \( \frac{3}{4} \) are both closer to 1 than difference close to 0 . The answer \( \frac{1}{8} \) is not reasonable because \( \frac{7}{8} \) is closer to 1 than to \( \frac{1}{2} \), and making the difference close to \( \frac{1}{2} \). The answer \( \frac{1}{8} \) is not reasonable because \( \frac{7}{8} \) is closer to \( \frac{1}{2} \) than to 1 , and making the difference close to \( \frac{1}{2} \).

The most accurate statement about the problem \( \frac{7}{8} - \frac{3}{4} = \frac{1}{8} \) is: **"The answer \( \frac{1}{8} \) is reasonable because \( \frac{7}{8} \) and \( \frac{3}{4} \) are both closer to 1 than making the difference close to 0."** ### Explanation: 1. **Calculating the Difference:** \[ \frac{7}{8} - \frac{3}{4} = \frac{7}{8} - \frac{6}{8} = \frac{1}{8} \] The correct difference is indeed \( \frac{1}{8} \). 2. **Reasonableness of the Answer:** - **Proximity to 1:** Both \( \frac{7}{8} \) (which is 0.875) and \( \frac{3}{4} \) (which is 0.75) are closer to 1 than to 0. This means they are large fractions, and subtracting a slightly smaller fraction from a larger one would naturally result in a small positive difference. - **Small Difference:** Since both fractions are near 1, their difference being \( \frac{1}{8} \) (0.125) is reasonable and expected. It reflects the small gap between the two values. 3. **Evaluating the Other Statements:** - The other statements suggest that the difference should be close to \( \frac{1}{2} \) based on the proximity of \( \frac{7}{8} \) to \( \frac{1}{2} \) or 1. However, mathematically: - \( \frac{7}{8} \) is much closer to 1 than to \( \frac{1}{2} \) (0.5). - Therefore, the difference \( \frac{1}{8} \) aligns with the actual proximity of the original fractions to 1, not to \( \frac{1}{2} \). ### Conclusion: The first statement accurately reflects the relationship between the fractions and the reasonableness of the resulting difference. The answer \( \frac{1}{8} \) correctly represents the small gap between two fractions that are both close to 1.