Question

(-2/3+3/7):4/5+(-1/3+4/7):4/5

Answer 1

(-2/3+3/7):4/5+(-1/3+4/7):4/5=(-2/3+3/7-1/3+4/7):4/5

=0:4/5=0

Answer 2

\(\left(\dfrac{-2}{3}+\dfrac{3}{7}\right):\dfrac{4}{5}+\left(\dfrac{-1}{3}+\dfrac{4}{7}\right):\dfrac{4}{5}\)

\(=\left(\dfrac{-2}{3}+\dfrac{3}{7}\right).\dfrac{5}{4}+\left(\dfrac{-1}{3}+\dfrac{4}{7}\right).\dfrac{5}{4}\)

\(=\dfrac{5}{4}\left[\left(\dfrac{-2}{3}+\dfrac{3}{7}\right)+\left(\dfrac{-1}{3}+\dfrac{4}{7}\right)\right]\)

\(=\dfrac{5}{4}\left[\left(\dfrac{-2}{3}+\dfrac{-1}{3}\right)+\left(\dfrac{3}{7}+\dfrac{4}{7}\right)\right]\)

\(=\dfrac{5}{4}\left[\left(-1\right)+1\right]\)

\(=\dfrac{5}{4}.0\)

\(=0\)

Answer 3

\(\left(\dfrac{-2}{3}+\dfrac{3}{7}\right):\dfrac{4}{5}+\left(\dfrac{-1}{3}+\dfrac{4}{7}\right):\dfrac{4}{5}\)

= \(\dfrac{-5}{21}:\dfrac{4}{5}+\dfrac{5}{21}:\dfrac{4}{5}\)

= \(\left(\dfrac{-5}{21}+\dfrac{5}{21}\right):\dfrac{4}{5}\)

= \(0:\dfrac{4}{5}=0\)