Question

\(\left(-\dfrac{7}{17}\right)\) x \(\dfrac{5}{12}\) + \(\left(-\dfrac{7}{17}\right)\)x\(\dfrac{7}{12}\)+\(\left(-\dfrac{10}{17}\right)\)

 

Answer 1

\(\left(\dfrac{-7}{17}\right).\dfrac{5}{12}+\left(-\dfrac{7}{17}\right).\dfrac{7}{12}+\left(-\dfrac{10}{17}\right)\)
\(=\dfrac{-7}{17}.\left(\dfrac{5}{12}+\dfrac{7}{12}\right)+\dfrac{-10}{17}\)
\(=\dfrac{-7}{17}.1+\dfrac{-10}{17}\)
\(=\dfrac{\left(-7\right)+\left(-10\right)}{17}\)
\(=\dfrac{-17}{17}\)
\(=-1\)

Answer 2

\(=\left(-\dfrac{7}{17}\right)\times\left(\dfrac{5}{12}+\dfrac{7}{12}\right)+\left(-\dfrac{10}{17}\right)\)

\(=\left(-\dfrac{7}{17}\right)\times\left(\dfrac{12}{12}\right)+\left(-\dfrac{10}{17}\right)\)

\(=\left(-\dfrac{7}{17}\right)+\left(-\dfrac{10}{17}\right)\)

\(=\dfrac{-17}{17}=-1\)