Question

\(\dfrac{-5}{6}.\dfrac{4}{9}+\dfrac{-7}{12}.\dfrac{4}{9}-\dfrac{40}{57}\)

Answer 1

\(\dfrac{-5}{6}.\dfrac{4}{9}+\dfrac{-7}{12}.\dfrac{4}{9}-\dfrac{40}{57} \)

\(=\dfrac{4}{9}.\left(\dfrac{-5}{6}+\dfrac{-7}{12}\right)-\dfrac{40}{57}\)

\(=\dfrac{4}{9}.\dfrac{-17}{12}-\dfrac{40}{57}\)

\(=\dfrac{-17}{27}-\dfrac{40}{57}\)

\(=\dfrac{-683}{513}\)

@dangthuylinh

Answer 2

\(\dfrac{-5}{6}.\dfrac{4}{9}+\dfrac{-7}{12}.\dfrac{4}{9}-\dfrac{40}{57}\)

\(=\dfrac{4}{9}.\left(\dfrac{-5}{6}+\dfrac{-7}{12}\right)-\dfrac{40}{57}\)

\(=\dfrac{4}{9}.\dfrac{-17}{12}-\dfrac{40}{57}\)

\(=\dfrac{-17}{27}-\dfrac{40}{57}\)

\(=\dfrac{-683}{513}\)