Question

\(\dfrac{-20}{23}\)+\(\dfrac{2}{3}\)-\(\dfrac{3}{23}\)+\(\dfrac{2}{5}\)+\(\dfrac{7}{15}\)

Answer 1

\(-\dfrac{20}{23}+\dfrac{2}{3}-\dfrac{3}{23}+\dfrac{2}{5}+\dfrac{7}{15}\)

\(=\left(-\dfrac{20}{23}-\dfrac{3}{23}\right)+\left(\dfrac{2}{3}+\dfrac{2}{5}+\dfrac{7}{15}\right)\)

\(=-\dfrac{23}{23}+\left(\dfrac{10}{15}+\dfrac{6}{15}+\dfrac{7}{15}\right)\)

\(=-1+\dfrac{23}{15}=\dfrac{8}{15}\)

Answer 2

\(\dfrac{-20}{23}+\dfrac{2}{3}-\dfrac{3}{23}+\dfrac{2}{5}+\dfrac{7}{15}\)

\(=\left(\dfrac{-20}{23}-\dfrac{3}{23}\right)+\left(\dfrac{2}{3}+\dfrac{2}{5}+\dfrac{7}{15}\right)\)

\(=\dfrac{-23}{23}+\left(\dfrac{10}{15}+\dfrac{6}{15}+\dfrac{7}{15}\right)\)

\(=-1+\dfrac{23}{15}\)

\(=\dfrac{-15}{15}+\dfrac{23}{15}\)

\(=\dfrac{8}{15}\)