Question

Answer 1

\(a,\dfrac{3}{5}\times\dfrac{8}{27}\times\dfrac{5}{3}=\left(\dfrac{3}{5}\times\dfrac{5}{3}\right)\times\dfrac{8}{27}=1\times\dfrac{8}{27}=\dfrac{8}{27}\\ b,\dfrac{7}{19}\times\dfrac{1}{3}+\dfrac{7}{19}\times\dfrac{2}{3}=\dfrac{7}{19}\times\left(\dfrac{1}{3}+\dfrac{2}{3}\right)=\dfrac{7}{19}\times\dfrac{3}{3}=\dfrac{7}{19}\times1=\dfrac{7}{19}\)

Answer 2

a) \(\dfrac{3}{5}\) x \(\dfrac{8}{27}\) x \(\dfrac{5}{3}\)                                  b) \(\dfrac{7}{19}\) x \(\dfrac{1}{3}\) x \(\dfrac{7}{19}\) x \(\dfrac{2}{3}\)

= \(\dfrac{8}{27}\) x ( \(\dfrac{3}{5}\) x \(\dfrac{5}{3}\) )                                = \(\dfrac{7}{19}\) x ( \(\dfrac{1}{3}\) + \(\dfrac{2}{3}\) )

= \(\dfrac{8}{27}\) x 1                                            = \(\dfrac{7}{19}\) x 1

= \(\dfrac{8}{27}\)                                                 = \(\dfrac{7}{19}\)