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 $$ \frac{1}{2} $$.

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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.
The answer $$ \frac{1}{8} $$ is reasonable because both $$ \frac{7}{8} $$ and $$ \frac{3}{4} $$ are closer to 1 than to making the difference close to 0.

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