−1 1/3+(−4 2/3) .

Answer 1

To solve the expression \(-1 \frac{1}{3} + (-4 \frac{2}{3})\), we first convert the mixed numbers into improper fractions.

1. Convert \(-1 \frac{1}{3}\) to an improper fraction: \[ -1 \frac{1}{3} = -\left(1 \times 3 + 1\right)/3 = -\frac{4}{3} \]

2. Convert \(-4 \frac{2}{3}\) to an improper fraction: \[ -4 \frac{2}{3} = -\left(4 \times 3 + 2\right)/3 = -\frac{14}{3} \]

Now we can add the two improper fractions: \[ -\frac{4}{3} + (-\frac{14}{3}) = -\frac{4 + 14}{3} = -\frac{18}{3} \]

Next, simplify \(-\frac{18}{3}\): \[ -\frac{18}{3} = -6 \]

Therefore, the final answer is: \[ -6 \]