[tex]3 + \frac{1}{6} = ( \frac{3}{1} )( \frac{6}{6} ) + \frac{1}{6} = \frac{18}{6} + \frac{1}{6} = \frac{19}{6} \\ 5 + \frac{3}{7} = (\frac{5}{1} )( \frac{7}{7} ) + \frac{3}{7} = \frac{35}{7} + \frac{3}{7} = \frac{38}{7} \\ 4 + \frac{2}{5} =( \frac{4}{1} )( \frac{5}{5} ) + \frac{2}{5} = \frac{20}{5} + \frac{2}{5} = \frac{22}{5} \\ 6 + \frac{2}{3} = (\frac{6}{1} )( \frac{3}{3} ) + \frac{2}{3} = \frac{18}{3} + \frac{2}{3} = \frac{20}{3} [/tex]
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[tex]3 + \frac{1}{6} = ( \frac{3}{1} )( \frac{6}{6} ) + \frac{1}{6} = \frac{18}{6} + \frac{1}{6} = \frac{19}{6} \\ 5 + \frac{3}{7} = (\frac{5}{1} )( \frac{7}{7} ) + \frac{3}{7} = \frac{35}{7} + \frac{3}{7} = \frac{38}{7} \\ 4 + \frac{2}{5} =( \frac{4}{1} )( \frac{5}{5} ) + \frac{2}{5} = \frac{20}{5} + \frac{2}{5} = \frac{22}{5} \\ 6 + \frac{2}{3} = (\frac{6}{1} )( \frac{3}{3} ) + \frac{2}{3} = \frac{18}{3} + \frac{2}{3} = \frac{20}{3} [/tex]
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