To estimate the sum of \( \frac{1}{4} + \frac{2}{7} \), we can first approximate each fraction.
- The fraction \( \frac{1}{4} \) is approximately \( 0.25 \).
- The fraction \( \frac{2}{7} \) can be estimated as follows:
- \( \frac{2}{7} \approx 0.2857 \), but for a quick estimate, we can round it to \( 0.3 \).
Now, we can add these approximate values:
\[ 0.25 + 0.3 = 0.55 \]
This value is close to \( \frac{1}{2} \) (which is \( 0.5 \)).
Therefore, the best estimate for the sum \( \frac{1}{4} + \frac{2}{7} \) is:
The sum will be close to 1/2.
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