Question

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\(-\dfrac{13}{17}\)x\(\dfrac{2}{5}\)-\(\dfrac{-4}{5}\)+\(\dfrac{-2}{5}\)x\(\dfrac{4}{17}\)

Answer 1

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Answer 2

\(\dfrac{-13}{17}\cdot\dfrac{2}{5}-\dfrac{-4}{5}+\dfrac{-2}{5}\cdot\dfrac{4}{17}\)

\(=\dfrac{-13}{17}\cdot\dfrac{2}{5}+2\cdot\dfrac{2}{5}-\dfrac{2}{5}\cdot\dfrac{4}{17}\)

\(=\dfrac{2}{5}\cdot\left(\dfrac{-13}{17}+2-\dfrac{4}{17}\right)\)

\(=\dfrac{2}{5}\left(-1+2\right)\)

\(=\dfrac{2}{5}\cdot1=\dfrac{2}{5}\)

Answer 3

\(\dfrac{-13}{17}\cdot\dfrac{2}{5}-\dfrac{-4}{5}+\dfrac{-2}{5}\cdot\dfrac{4}{17}\)

\(=\dfrac{-2}{5}\left(\dfrac{13}{17}+\dfrac{4}{17}\right)+\dfrac{4}{5}\)

\(=-\dfrac{2}{5}+\dfrac{4}{5}=\dfrac{2}{5}\)