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
$1 frac{1}{6}$