To estimate the expression \( \frac{10}{12} - \frac{3}{8} \) using benchmark values, we can round each fraction to a nearby "easy" fraction that is easier to work with.
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Estimate for \( \frac{10}{12} \):
- \( \frac{10}{12} \) can be simplified to \( \frac{5}{6} \), which is close to \( 1 \) (or more conveniently, we can use \( \frac{1}{2} \) or \( \frac{3}{4} \) as benchmarks for simplicity).
- We'll round \( \frac{10}{12} \) to \( 1 \) for our estimation.
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Estimate for \( \frac{3}{8} \):
- \( \frac{3}{8} \) is less than \( \frac{1}{2} \) but greater than \( \frac{1}{4} \).
- We can round \( \frac{3}{8} \) to \( \frac{1}{4} \) for simplicity.
Now, we can put these estimates into the equation:
\[ \frac{10}{12} \approx 1 \quad \text{and} \quad \frac{3}{8} \approx \frac{1}{4} \]
Then, we can estimate the overall expression:
\[ 1 - \frac{1}{4} = 1 - 0.25 = 0.75 \]
So, our final estimation for \( \frac{10}{12} - \frac{3}{8} \) is approximately \( 0.75 \).