1 2/3+ 2 2/3

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

1. Convert each mixed number to an improper fraction.

   • \(1 \frac{2}{3} = \frac{3 \cdot 1 + 2}{3} = \frac{3 + 2}{3} = \frac{5}{3}\)
   • \(2 \frac{2}{3} = \frac{3 \cdot 2 + 2}{3} = \frac{6 + 2}{3} = \frac{8}{3}\)

2. Now, add the two improper fractions: \[ \frac{5}{3} + \frac{8}{3} = \frac{5 + 8}{3} = \frac{13}{3} \]

3. Convert the improper fraction back to a mixed number:

   • Divide 13 by 3, which gives you 4 with a remainder of 1, so: \[ \frac{13}{3} = 4 \frac{1}{3} \]

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