Question

Tính nhanh a) 4/6+7/13+17/9-8/9+14/6+19/13 b) 328/435×468/432×435/164×432/984×164/468 Em cần gấp ạ

Answer 1

a) \(\dfrac{4}{6}+\dfrac{7}{13}+\dfrac{17}{9}-\dfrac{8}{9}+\dfrac{14}{6}+\dfrac{19}{13}\)

\(=\dfrac{2}{3}+\dfrac{7}{13}+\dfrac{17}{9}-\dfrac{8}{9}+\dfrac{7}{3}+\dfrac{19}{13}\)

\(=\left(\dfrac{2}{3}+\dfrac{7}{3}\right)+\left(\dfrac{7}{13}+\dfrac{19}{13}\right)+\left(\dfrac{17}{9}-\dfrac{8}{9}\right)\)

\(=\dfrac{9}{3}+\dfrac{26}{13}+\dfrac{9}{9}\)

\(=3+2+1\)

\(=6\)

b) \(\dfrac{328}{435}\times\dfrac{468}{432}\times\dfrac{435}{164}\times\dfrac{432}{984}\times\dfrac{164}{468}\)

\(=\dfrac{328\times468\times435\times432\times164}{435\times432\times164\times984\times468}\)

\(=\dfrac{328}{984}\)

\(=\dfrac{1}{3}\)