Question

30 баллов (3/5 - 1 2/3):16 1/23*(5/6 + 4/9) (1/11 + 1/3)*3/7 5:(-1,25)+2,8*1/7+1/3 9,8 : (10-3 7/15)*1 1/27

Answer 1

$( \frac{3}{5} - 1 \frac{2}{3} ) \div 16 = - \frac{1}{15} \\ \frac{3}{5} - 1 \frac{2}{3} = \frac{9}{15} - 1 \frac{10}{15} = - 1 \frac{1}{15}$
$- 1 \frac{1}{15} \div 16 = - \frac{16}{15} \times \frac{1}{16} = - \frac{1}{15}$
$\frac{1}{23} \times ( \frac{5}{6} + \frac{4}{9} ) = \frac{1}{18} \\ \frac{5}{6} + \frac{4}{9} = \frac{15}{18} + \frac{8}{18} = \frac{23}{18}$
$\frac{1}{23} \times \frac{23}{18} = \frac{1}{18}$
$( \frac{1}{11} + \frac{1}{3} ) \times \frac{3}{7} = \frac{2}{11} \\ \frac{1}{11} + \frac{1}{3} = \frac{3}{33} + \frac{11}{33} = \frac{14}{33}$
$\frac{14}{33} \times \frac{3}{7} = \frac{2}{11}$
$5 \div ( - 1.25) + 2 \frac{4}{5} \times \frac{1}{7} + \frac{1}{3} = \\ 5 \div ( - 1.25) = - 500 \div 125 = - 4$
$2 \frac{4}{5} \times \frac{1}{7} = \frac{14}{5} \times \frac{1}{7} = \frac{2}{5} = 0.4$
$- 4 + 0.4 = - 3.6 + \frac{1}{3} = \\ - 3 \frac{3}{5} + \frac{1}{3} = - 3 \frac{9}{15} + \frac{5}{15} = - 3 \frac{4}{15}$