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Answer 1

a)

$\frac{7}{3} + (- 0, 25) + \frac{17}{22} - \frac{3}{4} + \frac{5}{22} = \frac{7}{3} + \frac{- 1}{4} - \frac{3}{4} + (\frac{17}{22} + \frac{5}{22}) = \frac{7}{3} - \frac{4}{4} + \frac{22}{22} = \frac{7}{3} - 1 + 1 = \frac{7}{3} b) \frac{4}{15} . (\frac{- 19}{22}) - \frac{4}{15} . \frac{3}{22} = - \frac{4}{15} . (\frac{19}{22} + \frac{3}{22}) = - \frac{4}{15} . \frac{22}{22} = \frac{- 4}{15} c) \frac{- 5}{9} \div \frac{- 17}{18} = \frac{5}{9} \times \frac{18}{17} = \frac{10}{17} d) (\frac{- 5}{33} \div \frac{2}{11}) . 0, 15 = (\frac{- 5}{33} \times \frac{11}{2}) . \frac{3}{20} = \frac{- 5}{6} . \frac{3}{20} = \frac{- 1}{8} e) (\frac{2}{5} + \frac{- 1}{9}) \div \frac{7}{8} + (\frac{- 8}{9} + \frac{3}{5}) \div \frac{7}{8} = \frac{2}{5} \div \frac{7}{8} - \frac{1}{9} \div \frac{7}{8} - \frac{8}{9} \div \frac{7}{8} + \frac{3}{5} \div \frac{7}{8} = (\frac{2}{5} + \frac{3}{5}) \div \frac{7}{8} - (\frac{1}{9} + \frac{8}{9}) \div \frac{7}{8} = \frac{5}{5} \div \frac{7}{8} - \frac{9}{9} \div \frac{7}{8} = 1 \div \frac{7}{8} - 1 \div \frac{7}{8} = (1 - 1) \div \frac{7}{8} = 0 \div \frac{7}{8} = 0 f) \frac{23}{18} + \frac{7}{25} - \frac{5}{18} - (\frac{- 18}{25}) - 0, 75 = (\frac{23}{18} - \frac{5}{18}) + (\frac{7}{25} + \frac{18}{25}) - \frac{3}{4} = \frac{18}{18} + \frac{25}{25} - \frac{3}{4} = 1 + 1 - \frac{3}{4} = \frac{5}{4}$

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Answer 2

a)

$\frac{7}{3} + (- 0, 25) + \frac{17}{22} - \frac{3}{4} + \frac{5}{22} = \frac{7}{3} + \frac{- 1}{4} - \frac{3}{4} + (\frac{17}{22} + \frac{5}{22}) = \frac{7}{3} - \frac{4}{4} + \frac{22}{22} = \frac{7}{3} - 1 + 1 = \frac{7}{3} b) \frac{4}{15} . (\frac{- 19}{22}) - \frac{4}{15} . \frac{3}{22} = - \frac{4}{15} . (\frac{19}{22} + \frac{3}{22}) = - \frac{4}{15} . \frac{22}{22} = \frac{- 4}{15} c) \frac{- 5}{9} \div \frac{- 17}{18} = \frac{5}{9} \times \frac{18}{17} = \frac{10}{17} d) (\frac{- 5}{33} \div \frac{2}{11}) . 0, 15 = (\frac{- 5}{33} \times \frac{11}{2}) . \frac{3}{20} = \frac{- 5}{6} . \frac{3}{20} = \frac{- 1}{8} e) (\frac{2}{5} + \frac{- 1}{9}) \div \frac{7}{8} + (\frac{- 8}{9} + \frac{3}{5}) \div \frac{7}{8} = \frac{2}{5} \div \frac{7}{8} - \frac{1}{9} \div \frac{7}{8} - \frac{8}{9} \div \frac{7}{8} + \frac{3}{5} \div \frac{7}{8} = (\frac{2}{5} + \frac{3}{5}) \div \frac{7}{8} - (\frac{1}{9} + \frac{8}{9}) \div \frac{7}{8} = \frac{5}{5} \div \frac{7}{8} - \frac{9}{9} \div \frac{7}{8} = 1 \div \frac{7}{8} - 1 \div \frac{7}{8} = (1 - 1) \div \frac{7}{8} = 0 \div \frac{7}{8} = 0 f) \frac{23}{18} + \frac{7}{25} - \frac{5}{18} - (\frac{- 18}{25}) - 0, 75 = (\frac{23}{18} - \frac{5}{18}) + (\frac{7}{25} + \frac{18}{25}) - \frac{3}{4} = \frac{18}{18} + \frac{25}{25} - \frac{3}{4} = 1 + 1 - \frac{3}{4} = \frac{5}{4}$

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