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Question

Вопрос:

Ответ:

Accepted Answer

\[ 1 - \left( 6 \frac{2}{5} - 5 \frac{3}{5} \right) = 1 - \left( \frac{32}{5} - \frac{28}{5} \right) = 1 - \frac{4}{5} = \frac{1}{5} \]
\[ \left( 4 \frac{7}{6} - 3 \frac{4}{7} \right) - 30 \frac{9}{5} = \left( \frac{47}{6} - \frac{25}{7} \right) - \frac{159}{5} = \left( \frac{329 - 150}{42} \right) - \frac{159}{5} = \frac{179}{42} - \frac{159}{5} = \frac{895 - 6678}{210} = - \frac{5783}{210} \]
\[ 14 \frac{7}{4} + \left( 22 \frac{11}{4} - 19 \right) = 14 \frac{7}{4} + \left( \frac{99}{4} - \frac{76}{4} \right) = \frac{56+7}{4} + \frac{23}{4} = \frac{63}{4} + \frac{23}{4} = \frac{86}{4} = \frac{43}{2} = 21.5 \]
\[ \frac{7}{8} + \frac{15}{15} = \frac{7}{8} + 1 = 1 \frac{7}{8} \]
\[ 41 \frac{9}{2} - \frac{27}{5} = \frac{82+9}{2} - \frac{27}{5} = \frac{91}{2} - \frac{27}{5} = \frac{455 - 54}{10} = \frac{401}{10} = 40.1 \]