Question

\(\dfrac{-2}{9}+\dfrac{8}{15}+1\dfrac{2}{3}-\dfrac{7}{9}+\dfrac{-7}{15}\)

Answer 1

\(\dfrac{-2}{9}+\dfrac{8}{15}+1\dfrac{2}{3}-\dfrac{7}{9}+\dfrac{-7}{15}\)

\(=\dfrac{-2}{9}+\dfrac{8}{15}+\dfrac{5}{3}-\dfrac{7}{9}+\dfrac{-7}{15}\)

\(=\left(\dfrac{-2}{9}+\dfrac{-7}{9}\right)+\left(\dfrac{8}{15}+\dfrac{-7}{15}\right)+\dfrac{5}{3}\)

\(=-1+\dfrac{1}{15}+\dfrac{5}{3}\)

\(=\dfrac{-14}{15}+\dfrac{5}{3}\)

\(=\dfrac{11}{15}\)

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Answer 2

= (-2/9-7/9)+(8/15-7/15)+5/3

= -1 + 1/15 + 5/3

= 11/15