Question

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 \(\boxed{-6}\).