Вычислите: 3 1\4 :( 7\8 – 2\3 ) – 2•1 1\4 .

Ответ:

13.1

Пошаговое объяснение:

$\frac{7}{8} - \frac{2}{3} = \frac{21}{24} - \frac{16}{24} = \frac{21 - 16}{24} = \frac{5}{24}$

$3 \frac{1}{4} \div \frac{5}{24} = \frac{13}{4} \div \frac{5}{24} = \frac{13}{4} \times \frac{24}{5} = \frac{13 \times 24}{4 \times 5} = \frac{78}{5}$

$2 \times 1 \frac{1}{4} = 2 \times \frac{5}{4} = \frac{10}{4}$

$\frac{78}{5} - \frac{10}{4} = \frac{312}{20} - \frac{50}{20} = \frac{312 - 50}{20} = \frac{262}{20} = \frac{131}{10} = 13.1$