To estimate \( \frac{10}{12} - \frac{3}{8} \) using benchmark values, we'll round each fraction to a fraction that is easier to work with.
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Estimate \( \frac{10}{12} \):
- \( \frac{10}{12} \) can be simplified to \( \frac{5}{6} \).
- We know that \( \frac{5}{6} \) is close to \( 1 \) (or \( \frac{6}{6} \)), so we can round \( \frac{10}{12} \) to \( 1 \).
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Estimate \( \frac{3}{8} \):
- \( \frac{3}{8} \) is less than \( \frac{4}{8} = \frac{1}{2} \), so we can round \( \frac{3}{8} \) to \( \frac{1}{2} \).
Now, we can perform the estimation:
\[ \text{Estimated value of } \frac{10}{12} \text{ is } 1 \] \[ \text{Estimated value of } \frac{3}{8} \text{ is } \frac{1}{2} \]
Now we can calculate the estimated expression:
\[ 1 - \frac{1}{2} = \frac{2}{2} - \frac{1}{2} = \frac{1}{2} \]
So, the estimated value for \( \frac{10}{12} - \frac{3}{8} \) is \( \frac{1}{2} \).