Question

Выполните действия: (с решением , а не просто ответ) 1)2 2/3 : 24/35 : 2 7/9 2)15/16 : 5/8 × 1 1/9 3)4 9/38 × 5/23 : 7/19

Answer 1

$2 \frac{2}{3} \div \frac{24}{35} \div 2 \frac{7}{9} = \frac{8}{3} \div \frac{24}{35} \div \frac{25}{9} = \frac{8}{3} \times \frac{35}{24} \times \frac{9}{25} = \frac{1 \times 7 \times 3}{1 \times 3 \times 5} = \frac{21}{15} = \frac{7}{5} = 1 \frac{2}{5}$
$\frac{15}{16} \div \frac{5}{8} \times \frac{11}{9} = \frac{15}{16} \times \frac{8}{5} \times \frac{11}{9} = \frac{3 \times 1 \times 11}{2 \times 1 \times 9} = \frac{33}{18} = \frac{11}{6} = 1 \frac{5}{6}$
$4 \frac{9}{38} \times \frac{5}{23} \div \frac{7}{9} = \frac{161}{38} \times \frac{5}{23} \times \frac{9}{7} = \frac{7 \times 5 \times 9}{38 \times 1 \times 7} = \frac{315}{266} = \frac{45}{38} = 1 \frac{7}{38}$