a) \(\left(-\dfrac{2}{3}+\dfrac{3}{7}\right):\dfrac{4}{5}+\left(-\dfrac{1}{3}+\dfrac{4}{7}\right):\dfrac{4}{5}\)
= \(\left(-\dfrac{2}{3}+\dfrac{3}{7}-\dfrac{1}{3}+\dfrac{4}{7}\right):\dfrac{4}{5}\)
= \(0:\dfrac{4}{5}\)
= 0
b) \(\dfrac{5}{9}\left(\dfrac{1}{11}-\dfrac{5}{22}\right)+\dfrac{5}{9}\left(\dfrac{1}{15}-\dfrac{2}{3}\right)\)
= \(\dfrac{5}{9}:\left(\dfrac{1}{11}-\dfrac{5}{22}+\dfrac{1}{15}-\dfrac{2}{3}\right)\)
= \(\dfrac{5}{9}:-\dfrac{81}{110}\)
= \(-\dfrac{550}{729}\)
Giải:
a) \(\left(\dfrac{-2}{3}+\dfrac{3}{7}\right):\dfrac{4}{5}+\left(\dfrac{-1}{3}+\dfrac{4}{7}\right):\dfrac{4}{5}\)
\(=\left[\left(\dfrac{-2}{3}+\dfrac{2}{7}\right)+\left(\dfrac{-1}{3}+\dfrac{4}{7}\right)\right]:\dfrac{4}{5}\)
\(=\left(\dfrac{-2}{3}+\dfrac{2}{7}-\dfrac{1}{3}+\dfrac{4}{7}\right):\dfrac{4}{5}\)
\(=\left(-1+1\right):\dfrac{4}{5}\)
\(=0:\dfrac{4}{5}\)
\(=0.\dfrac{4}{5}\)
\(=0\)
b) \(\dfrac{5}{9}:\left(\dfrac{1}{11}-\dfrac{5}{22}\right)+\dfrac{5}{9}:\left(\dfrac{1}{15}-\dfrac{2}{3}\right)\)
\(=\dfrac{5}{9}:\left(\dfrac{2}{22}-\dfrac{5}{22}\right)+\dfrac{5}{9}:\left(\dfrac{1}{15}-\dfrac{10}{15}\right)\)
\(=\dfrac{5}{9}:\dfrac{-3}{22}+\dfrac{5}{9}:\dfrac{-3}{5}\)
\(=\dfrac{5}{9}:\left(\dfrac{-3}{22}-\dfrac{3}{5}\right)\)
\(=\dfrac{5}{9}:\left(\dfrac{-3}{22}-\dfrac{3}{5}\right)\)
\(=\dfrac{5}{9}:\dfrac{-81}{110}\)
\(=-\dfrac{550}{729}\)
Chúc bạn học tốt!!!
