[tex] \frac{1}{2} + \frac{2}{3} \\ \\ 1. \: 2 \times 3 = 6 \\ \\ 2. \: \frac{1 \times 3}{2 \times 3} + \frac{2 \times 2}{3 \times 2} \\ \\ 3. \: \frac{3}{6} + \frac{4}{6} \\ \\ 4. \: \frac{3 + 4}{6} \\ \\ 5. \: \frac{7}{6} \\ \\ 6. \: = 1 \frac{1}{6} [/tex]