Solve the following problems involving adding unlike fractions: 1. 1/2 + 2/3, 2. 8/12 + 8/11, 3. 2/7 + 6/10

$$
\frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}
$$
$$
\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}
$$

$$
\frac{3}{6} + \frac{4}{6} = \frac{3+4}{6} = \frac{7}{6}
$$
\frac{7}{6}

$$
\frac{8}{12} = \frac{8 \times 11}{12 \times 11} = \frac{88}{132}
$$
$$
\frac{8}{11} = \frac{8 \times 12}{11 \times 12} = \frac{96}{132}
$$

$$
\frac{88}{132} + \frac{96}{132} = \frac{88+96}{132} = \frac{184}{132}
$$

$$
\frac{184 \div 4}{132 \div 4} = \frac{46}{33}
$$
\frac{46}{33}

$$
\frac{2}{7} = \frac{2 \times 5}{7 \times 5} = \frac{10}{35}
$$
$$
\frac{3}{5} = \frac{3 \times 7}{5 \times 7} = \frac{21}{35}
$$

$$
\frac{10}{35} + \frac{21}{35} = \frac{10+21}{35} = \frac{31}{35}
$$
\frac{31}{35}

$$
\frac{1}{6} = \frac{1 \times 11}{6 \times 11} = \frac{11}{66}
$$
$$
\frac{6}{11} = \frac{6 \times 6}{11 \times 6} = \frac{36}{66}
$$

$$
\frac{11}{66} + \frac{36}{66} = \frac{11+36}{66} = \frac{47}{66}
$$
\frac{47}{66}

$$
\frac{5}{9} = \frac{5 \times 2}{9 \times 2} = \frac{10}{18}
$$
$$
\frac{1}{2} = \frac{1 \times 9}{2 \times 9} = \frac{9}{18}
$$

$$
\frac{10}{18} + \frac{9}{18} = \frac{10+9}{18} = \frac{19}{18}
$$
\frac{19}{18}

$$
\frac{9}{12} + \frac{2}{12} = \frac{9+2}{12} = \frac{11}{12}
$$
\frac{11}{12}

$$
\frac{2}{7} = \frac{2 \times 4}{7 \times 4} = \frac{8}{28}
$$
$$
\frac{1}{4} = \frac{1 \times 7}{4 \times 7} = \frac{7}{28}
$$

$$
\frac{8}{28} + \frac{7}{28} = \frac{8+7}{28} = \frac{15}{28}
$$
\frac{15}{28}

$$
\frac{1}{4} + \frac{3}{4} = \frac{1+3}{4} = \frac{4}{4}
$$

$$
\frac{4}{4} = 1
$$
1

$$
\frac{2}{5} + \frac{4}{5} = \frac{2+4}{5} = \frac{6}{5}
$$
\frac{6}{5}

$$
\frac{1}{2} = \frac{1 \times 11}{2 \times 11} = \frac{11}{22}
$$
$$
\frac{8}{11} = \frac{8 \times 2}{11 \times 2} = \frac{16}{22}
$$

$$
\frac{11}{22} + \frac{16}{22} = \frac{11+16}{22} = \frac{27}{22}
$$
\frac{27}{22}