Question

Answer 1

\(a,\dfrac{2}{3}+\dfrac{5}{2}-\dfrac{5}{7}\times\dfrac{14}{15}=\dfrac{2}{3}+\dfrac{5}{2}-\dfrac{2}{3}=\dfrac{5}{2}\)

\(b,\dfrac{5}{9}\times\left(\dfrac{8}{3}+\dfrac{7}{6}:14\right)=\dfrac{5}{9}\times\left(\dfrac{8}{3}+\dfrac{1}{12}\right)=\dfrac{5}{9}\times\dfrac{11}{4}=\dfrac{55}{36}\)

Answer 2

a: \(=\dfrac{4}{6}+\dfrac{15}{6}-\dfrac{70}{105}=\dfrac{19}{6}-\dfrac{2}{3}=\dfrac{19}{6}-\dfrac{4}{6}=\dfrac{15}{6}=\dfrac{5}{2}\)

b: \(=\dfrac{5}{9}\left(\dfrac{8}{3}+\dfrac{7}{6}\cdot\dfrac{1}{14}\right)=\dfrac{5}{9}\cdot\dfrac{11}{4}=\dfrac{55}{36}\)