[tex]1. \: \: 2 \frac{2}{3} + 4 \frac{4}{5} = \frac{8}{3} + \frac{24}{5} = \frac{40 + 72}{15} = \frac{112}{15} = 7 \frac{7}{15} \\ [/tex]
[tex]2. \: \: 4 \frac{1}{2} + 1 \frac{1}{3} = \frac{9}{2} + \frac{4}{3} = \frac{27 + 8}{6} = \frac{35}{6} = 5 \frac{5}{6} \\ [/tex]
[tex]3. \: \: 4 \frac{5}{6} + 2 \frac{1}{4} = \frac{29}{6} + \frac{9}{4} = \frac{58 + 27}{12} = \frac{85}{12} = 7 \frac{1}{12} \\ [/tex]
[tex]4. \: \: 6 \frac{1}{3} + 3 \frac{4}{5} = \frac{19}{3} + \frac{19}{5} = \frac{95 + 57}{15} = \frac{152}{15} = 10\frac{2}{15} \\ [/tex]
[tex]5. \: \: 5 \frac{2}{3} + 1 \frac{3}{4} = \frac{17}{3} + \frac{7}{4} = \frac{68 + 21}{12} = \frac{89}{12} = 7 \frac{5}{12} \\ [/tex]
[tex]6. \: \: 4 \frac{2}{3} - 2 \frac{4}{5} = \frac{14}{3} - \frac{14}{5} = \frac{70 - 42}{15} = \frac{28}{15} = 1 \frac{13}{15} \\ [/tex]
[tex]7. \: \: 3 \frac{1}{2} - 1 \frac{1}{3} = \frac{7}{2} - \frac{4}{3} = \frac{21 - 8}{6} = \frac{13}{6} = 2 \frac{1}{6} \\ [/tex]
