The problem asks us to estimate the sum of the fractions $\frac{13}{14}$ and $\frac{2}{21}$ using the benchmarks 0, $\frac{1}{2}$, and 1.

1. Problem Description

The problem asks us to estimate the sum of the fractions $\frac{13}{14}$ and $\frac{2}{21}$ using the benchmarks 0, $\frac{1}{2}$, and

1.

2. Solution Steps

First, we estimate $\frac{13}{14}$. Since 13 is very close to 14, $\frac{13}{14}$ is very close to

1. We can approximate it as

1.

Next, we estimate $\frac{2}{21}$. We compare this to $\frac{1}{2}$. Half of 21 is 10.

5. Since 2 is much smaller than 10.5, $\frac{2}{21}$ is close to

0. Therefore, we can approximate $\frac{2}{21}$ as

0.

Now, we add the approximations:

$1 + 0 = 1$

3. Final Answer

1