Question

(2 2/15 . 9/7 . 3/2 ) : (-3/17) 

Answer 1

\(\left(\dfrac{32}{15}.\dfrac{9}{7}.\dfrac{3}{2}\right):\left(-\dfrac{3}{17}\right)\\ =\left(\dfrac{96}{35}.\dfrac{3}{2}\right):\left(-\dfrac{3}{17}\right)\\ =\dfrac{144}{35}:\left(-\dfrac{3}{17}\right)\\ =\dfrac{144}{35}.\dfrac{-17}{3}\\ =-\dfrac{816}{35}\)

Answer 2

\(=\left(\dfrac{32}{15}\cdot\dfrac{9}{7}\cdot\dfrac{3}{2}\right)\cdot\dfrac{-17}{3}\)

\(=\dfrac{32\cdot9\cdot3}{15\cdot7\cdot2}\cdot\dfrac{-17}{3}=\dfrac{-32\cdot9}{15\cdot7\cdot2}=\dfrac{-16\cdot3}{5\cdot7}=-\dfrac{48}{35}\)