Question

a. \(\dfrac{7}{9}+\dfrac{5}{9}\times\dfrac{-11}{23}-\dfrac{5}{9}\times\dfrac{12}{33}\)

b . \(\dfrac{-5}{13}\times\dfrac{3}{17}+-\dfrac{5}{13}\div\dfrac{17}{9}-\dfrac{-5}{13}\times\dfrac{5}{17}\)

Answer 1

a) \(\dfrac{7}{9}+\dfrac{5}{9}\times-\dfrac{11}{23}-\dfrac{5}{9}\times\dfrac{12}{33}\)

\(=\dfrac{7}{9}+\dfrac{5}{9}\left(-\dfrac{11}{23}-\dfrac{12}{33}\right)\)

\(=\dfrac{7}{9}+\dfrac{5}{9}.-\dfrac{213}{253}\)

\(=\dfrac{7}{9}-\dfrac{355}{759}=\dfrac{706}{2277}\)

b) \(\dfrac{-5}{13}\times\dfrac{3}{17}+\left(-\dfrac{5}{13}\div\dfrac{17}{9}\right)-\dfrac{-5}{13}\times\dfrac{5}{17}\)

\(=\dfrac{-5}{13}\times\dfrac{3}{17}+\left(-\dfrac{5}{13}\times\dfrac{9}{17}\right)+\dfrac{5}{13}\times\dfrac{5}{17}\)

\(=-\dfrac{5}{13}\times\left(\dfrac{3}{17}+\dfrac{9}{17}-\dfrac{5}{17}\right)\)

\(=-\dfrac{5}{13}\times\dfrac{7}{17}=-\dfrac{35}{221}\)