Question

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

Answer 1

To add the two mixed numbers, -1 1/3 and -4 2/3, follow these steps:

1. **Convert mixed numbers to improper fractions:**
- For -1 1/3:
\[
-1 \frac{1}{3} = -\left(\frac{3 \times 1 + 1}{3}\right) = -\frac{4}{3}
\]
- For -4 2/3:
\[
-4 \frac{2}{3} = -\left(\frac{3 \times 4 + 2}{3}\right) = -\frac{14}{3}
\]

2. **Add the improper fractions:**
- Now, add the two fractions:
\[
-\frac{4}{3} + -\frac{14}{3} = -\frac{4 + 14}{3} = -\frac{18}{3}
\]

3. **Simplify the result:**
- Simplifying -\frac{18}{3} gives:
\[
-\frac{18}{3} = -6
\]

Therefore, the sum of -1 1/3 and -4 2/3 is \(-6\).