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\(\frac{1}{2} ⋅ \frac{2}{3} = \frac{2}{6} = \frac{1}{3}\)

\(-\frac{3}{8} ⋅ -1\frac{5}{6} = -\frac{3}{8} ⋅ -\frac{11}{6} = \frac{33}{48} = \frac{11}{16}\)

\(-1\frac{5}{6} ⋅ -1\frac{1}{2} = -\frac{11}{6} ⋅ -\frac{3}{2} = \frac{33}{12} = \frac{11}{4} = 2\frac{3}{4}\)

\(\frac{1}{8} ⋅ -2 = \frac{1}{8} ⋅ -\frac{2}{1} = -\frac{2}{8} = -\frac{1}{4}\)

\(-\frac{1}{4} : -\frac{1}{7} = -\frac{1}{4} ⋅ -\frac{7}{1} = \frac{7}{4} = 1\frac{3}{4}\)

\(-2\frac{1}{9} : -\frac{1}{5} = -\frac{19}{9} : -\frac{1}{5} = -\frac{19}{9} ⋅ -\frac{5}{1} = \frac{95}{9} = 10\frac{5}{9}\)

\(6\frac{2}{3} : -4\frac{1}{4} = \frac{20}{3} : -\frac{17}{4} = \frac{20}{3} ⋅ -\frac{4}{17} = -\frac{80}{51} = -1\frac{29}{51}\)

\(2 : 2\frac{1}{8} = \frac{2}{1} : \frac{17}{8} = \frac{2}{1} ⋅ \frac{8}{17} = \frac{16}{17}\)

\(-\frac{3}{5} + 1\frac{1}{5} = -\frac{3}{5} + \frac{6}{5} = \frac{3}{5}\)

\(\frac{1}{5} + 2\frac{2}{7} = \frac{1}{5} + \frac{16}{7} = {7 \over 35} + {80 \over 35} = \frac{87}{35} = 2\frac{17}{35}\)

\(\frac{5}{6} - \frac{1}{3} = {5 \over 6} - {2 \over 6} = \frac{3}{6} = \frac{1}{2}\)

\(-1\frac{1}{4} + \frac{1}{6} = -\frac{5}{4} + \frac{1}{6} = {-15 \over 12} + {2 \over 12} = -\frac{13}{12} = -1\frac{1}{12}\)