Question

​What is the best estimate for this sum?

1/4+2/7

Responses

The sum will be close to 1/4.
The sum will be close to 1 fourth .

The sum will be close to 1/2.
The sum will be close to 1 half .

The sum will be close to 1.

Answer 1

To estimate the sum of \( \frac{1}{4} + \frac{2}{7} \), we can first approximate each fraction.

1. The fraction \( \frac{1}{4} \) is approximately \( 0.25 \).
2. 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.**