Question

найти значение выражения :2 1/3*1 4/7*1 4/11*1 4/19-2/3

Answer 1

$2 frac{1}{3} * 1 frac{4}{7} * 1 frac{4}{11} * 1 frac{4}{19} - frac{2}{3} = frac{7}{3} * frac{11}{7} * frac{15}{11} * frac{23}{19} - frac{2}{3} = frac{7*11*15*23}{3*7*11*19} - frac{2}{3} =$ $frac{5*23}{19} - frac{2}{3} = frac{115}{19} - frac{2}{3} = 6 frac{1}{19} - frac{2}{3} = 6 frac{3}{57} - frac{38}{57}$ = $5 frac{60}{57} - frac{38}{57} = 5 frac{22}{57}$