Question

Find $(x\times y)\times z$ and $x\times (y\times z)$,if $x=\frac{3}{5},y=\frac{-7}{3},z=\frac{8}{11}$.

Answer 1

$x=\frac{3}{5},y=\frac{-7}{3}z=\frac{8}{11}$

$(x\times y)\times z=(\frac{3}{5}\times \frac{-7}{3})\times z$

$=\frac{-7}{5}\times z=\frac{-7}{5}\times \frac{8}{11}=\frac{-56}{55}$

$x\times (y\times z)=\frac{3}{5}\times (\frac{-7}{3}\times \frac{8}{11})$

$=\frac{3}{5}\times \frac{-56}{33}=\frac{-56}{55}$