Question

Вычислите значение выражение: 0,9*(1 5/9 - 4/9: (5/8+3/8: 3))

Answer 1

$0,9*(1\frac{5}{9}-\frac{4}{9}:(\frac{5}{8}+\frac{3}{8}:3))=\frac{13}{15}\\\\1)\frac{3}{8}:3=\frac{3}{8*3}=\frac{1}{8}\\\\2)\frac{5}{8}+\frac{1}{8}=\frac{5+1}{8}=\frac{6}{8}=\frac{3}{4}\\\\3)\frac{4}{9}:\frac{3}{4}=\frac{4}{9}*\frac{4}{3}=\frac{4*4}{9*3}=\frac{16}{27}\\\\4)1\frac{5}{9}-\frac{16}{27}=\frac{14^{(3}}{9}-\frac{16}{27}=\frac{42}{27}-\frac{16}{27}=\frac{42-16}{27}=\frac{26}{27}\\\\5)0,9*\frac{26}{27}=\frac{9}{10}*\frac{26}{27}=\frac{9*26}{10*27}=\frac{1*13}{5*3}=\frac{13}{15}$