1 2/3+ 2 2/3

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

1. Convert the mixed numbers to improper fractions:

   • For \(1 \frac{2}{3}\): \[ 1 \frac{2}{3} = \frac{1 \times 3 + 2}{3} = \frac{3 + 2}{3} = \frac{5}{3} \]
   • For \(2 \frac{2}{3}\): \[ 2 \frac{2}{3} = \frac{2 \times 3 + 2}{3} = \frac{6 + 2}{3} = \frac{8}{3} \]

2. Add the improper fractions: \[ \frac{5}{3} + \frac{8}{3} = \frac{5 + 8}{3} = \frac{13}{3} \]

3. Convert back to a mixed number (if desired): \[ \frac{13}{3} = 4 \frac{1}{3} \quad \text{(since } 3 \text{ goes into } 13 \text{ four times with a remainder of } 1\text{)} \]

So, \(1 \frac{2}{3} + 2 \frac{2}{3} = 4 \frac{1}{3}\).