Question

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

Answer 1

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