Question

Найдите чему равны следующие произведения 3/4*1 1/3 2/11*1 5/6 3 5/9*4 7/8

Answer 1

$frac{3}{4} times 1 frac{1}{3} times frac{2}{11} times 1 frac{5}{6} times 3 frac{5}{9} times 4 frac{7}{8} =$

$= frac{3}{4} times frac{4}{3} times frac{2}{11} times frac{11}{6} times frac{32}{9} times frac{39}{8} =$

$= frac{3 times 4 times 2 times 11 times 32 times 39}{4 times 3 times 11 times 6 times 9 times 8} = frac{2 times 11 times 32 times 39}{11 times 6 times 9 times 8} =$


$= frac{2 times 32 times 39}{6 times 9 times 8} = frac{32 times 39}{6 times 9 times 4} = frac{8 times 39}{6 times 9} =$


$= frac{4 times 39}{3 times 9} = frac{4 times 13}{9} = frac{52}{9} = 5 frac{7}{9}$