add -1 1/3 + (-4 2/3) .

Answer 1

To add $-1\frac{1}{3}$ and $-4\frac{2}{3}$, we first convert the mixed numbers into improper fractions.

1. Convert $-1\frac{1}{3}$: $$-1\frac{1}{3}=-(1\times 3+1)/3=-\frac{4}{3}$$

2. Convert $-4\frac{2}{3}$: $$-4\frac{2}{3}=-(4\times 3+2)/3=-\frac{14}{3}$$

Now, we can add the two fractions: $$-\frac{4}{3}+(-\frac{14}{3})=-\frac{4+14}{3}=-\frac{18}{3}=-6$$

Thus, $-1\frac{1}{3}+(-4\frac{2}{3})=-6$.