[tex] \frac{14}{10} + \frac{2}{6} = \frac{7}{5} + \frac{1}{3} = \frac{7 \times 3}{5 \times 3} + \frac{1 \times 5}{3 \times 5} = \frac{21}{15} + \frac{5}{15} = \frac{21 + 5}{15} = \frac{26}{15} = 1 \frac{11}{15} [/tex]
[tex] \frac{7}{14} + \frac{4}{8} = \frac{1}{2} + \frac{1}{2} = \frac{1 + 1}{2} = 1 [/tex]
[tex] \frac{3}{8} + \frac{12}{15} = \frac{3}{8} + \frac{4}{5} = \frac{3 \times 5}{8 \times 5} + \frac{4 \times 8}{5 \times 8} = \frac{15}{40} + \frac{32}{40} = \frac{15 + 32}{40} = \frac{47}{40} = 1 \frac{7}{40} [/tex]
[tex] \frac{5}{9} + \frac{8}{12} = \frac{5}{9} + \frac{2}{3} = \frac{5}{9} + \frac{2 \times 3}{3 \times 3} = \frac{5}{9} + \frac{6}{9} = \frac{5 + 6}{9} = \frac{11}{9} = 1 \frac{2}{9} [/tex]
