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a)
[tex]\frac{1}{2} + \frac{1}{3} = \frac{3}{6} +\frac{2}{6} = \frac{5}{6} \\\\\frac{1}{3} + \frac{1}{4} = \frac{4}{12} + \frac{3}{12} = \frac{7}{12} \\\\\frac{1}{4} + \frac{1}{5} = \frac{5}{20} + \frac{4}{20} = \frac{9}{20}[/tex]
b)
[tex]\frac{1}{5} + \frac{2}{3} = \frac{3}{15} + \frac{10}{15} = \frac{13}{15} \\\\\\frac{1}{6} + \frac{3}{4} = \frac{2}{12} + \frac{9}{12} = \frac{11}{12} \\\\\\frac{3}{7} + \frac{2}{5} = \frac{15}{35} + \frac{14}{35} = \frac{29}{35}[/tex]
c)
[tex]1\frac{3}{4} + 2\frac{1}{5} + 1\frac{6}{10} = 1\frac{15}{20} + 2\frac{4}{20} + 1\frac{12}{20} = 4\frac{31}{20} = 5\frac{11}{20} \\\\2\frac{1}{4} + 1\frac{5}{8} + \frac{7}{16} = 2\frac{4}{16} + 1\frac{10}{16} + \frac{7}{16} = 3\frac{21}{16} = 4\frac{5}{16} \\\\1\frac{4}{9} + 2\frac{5}{6} + 1\frac{7}{12} = 1\frac{16}{36} + 2\frac{30}{36} + 1\frac{21}{36} = 4\frac{67}{36} = 5\frac{31}{36}[/tex]