Question

5 4/7:1 5/21-(5 2/15*3/22+1 14/15
по действиям

Answer 1

$5 \frac{4}{7} \div 1 \frac{5}{21} - (5 \frac{2}{15} \times \frac{3}{22} + 1 \frac{14}{15} )$

$5 \frac{2}{15} \times \frac{3}{22} = \frac{77}{15} \times \frac{3}{22} = \frac{7}{5 \times 2} = \frac{7}{10}$
$\frac{7}{10} + 1 \frac{14}{15} = \frac{7}{10} + \frac{14}{15} + 1 = \\ = \frac{21 + 28}{30} + 1 = \frac{49}{30} + 1 = \frac{79}{30}$
$\frac{7}{10} + \frac{79}{30} = \frac{21 + 79}{30} = \frac{100}{30} = \frac{10}{3}$
$5 \frac{4}{7} \div 1 \frac{5}{21} = \frac{39}{7} \div \frac{26}{21} = \\ = \frac{39}{7} \times \frac{21}{26} = \frac{3 \times 3}{2} = \frac{9}{2}$
$\frac{9}{2} - \frac{10}{3} = \frac{27 - 20}{6} = \frac{7}{6} = 1 \frac{1}{6}$
$5 \frac{4}{7} \div 1 \frac{5}{21} - (5 \frac{2}{15} \times \frac{3}{22} + 1 \frac{14}{15} ) = \\ = 1 \frac{1}{6}$
Ответ
$1 \frac{1}{6}$