Question

(3 1/2 + 2 -1/3) : 11/1/6

Answer 1

Ответ:

$\frac{31}{67}$

Объяснение:

$(3 \frac{1}{2} + 2 - \frac{1}{3} ) \div 11 \frac{1}{6} = \\ = ( \frac{7}{2} + 2 + \frac{1}{3} ) \div \frac{67}{6} = \\ = ( \frac{3 \times 7}{3 \times 2} + \frac{6 \times 2}{6 \times 1} - \frac{2 \times 1}{2 \times 3} ) \div \frac{67}{6} = \\ = ( \frac{21}{6} + \frac{12}{6} - \frac{2}{6} ) \div \frac{67}{6} = \\ = ( \frac{21 + 12 - 2}{6} ) \div \frac{67}{6} = \\ = \frac{31}{6} \div \frac{67}{6} = \div = \frac{31}{6} \times \frac{6}{67} = \\ = \frac{31}{67}$