​What is the best estimate for this sum?

Question

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.