Add −1 1/3+(−4 2/3)

Answer 1

To add the mixed numbers \(-1 \frac{1}{3}\) and \(-4 \frac{2}{3}\), we can follow these steps:

1. Convert the mixed numbers to improper fractions.

   • For \(-1 \frac{1}{3}\): \[ -1 \frac{1}{3} = -\left(1 \times 3 + 1\right)/3 = -\frac{4}{3} \]
   • For \(-4 \frac{2}{3}\): \[ -4 \frac{2}{3} = -\left(4 \times 3 + 2\right)/3 = -\frac{14}{3} \]

2. Add the two improper fractions: \[ -\frac{4}{3} + \left(-\frac{14}{3}\right) = -\frac{4 + 14}{3} = -\frac{18}{3} \]

3. Simplify the fraction: \[ -\frac{18}{3} = -6 \]

Thus, the result of \(-1 \frac{1}{3} + (-4 \frac{2}{3})\) is \(\boxed{-6}\).