Вопрос:

Вычислите: (3 1/3:10+0,175:7/20)/(1 3/4-1 11/17*51/56).

Ответ:

\[\frac{3\frac{1}{3}\ :10 + 0,175\ :\frac{7}{20}}{1\frac{3}{4} - 1\frac{11}{17} \cdot \frac{51}{56}} =\]

\[= \frac{\frac{10}{3} \cdot \frac{1}{10} + \frac{175}{1000} \cdot \frac{20}{7}}{1\frac{3}{4} - \frac{28}{17} \cdot \frac{51}{56}} = \frac{\frac{1}{3} + \frac{25}{50}}{1\frac{3}{4} - \frac{3}{2}} =\]

\[= \frac{\frac{1}{3} + \frac{1}{2}}{\frac{7}{4} - \frac{6}{4}} = \frac{5}{6}\ :\frac{1}{4} =\]

\[= \frac{5}{6} \cdot 4 = \frac{10}{3} = 3\frac{1}{3}.\]

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