Let's start by solving the expression step by step:
The expression we need to evaluate is:
\[ -2 \frac{1}{3} - (-5) \]
First, convert \(-2 \frac{1}{3}\) into an improper fraction:
\[ -2 \frac{1}{3} = -\frac{7}{3} \]
Next, simplify the expression by handling the negative sign:
\[ -(-5) = +5 \]
Now, we rewrite the original expression:
\[ -\frac{7}{3} + 5 \]
Convert \(5\) into an improper fraction with a common denominator of 3:
\[ 5 = \frac{15}{3} \]
Now, we can add the two fractions:
\[ -\frac{7}{3} + \frac{15}{3} = \frac{-7 + 15}{3} = \frac{8}{3} \]
Now, convert \(\frac{8}{3}\) back to a mixed number:
\[ \frac{8}{3} = 2 \frac{2}{3} \]
This means:
\[ -2 \frac{1}{3} - (-5) = 2 \frac{2}{3} \]
To find the value equivalent to 2.667, we can express it as a fraction as well:
\[ 2.667 \approx \frac{8}{3} = 2 \frac{2}{3} \]
Therefore, the answer is:
\[ \boxed{2 \frac{2}{3}} \]