First, rewrite this expression as:
#(27/50)/(3/5)#
Use this rule for dividing fractions:
#(color(red)(a)/color(blue)(b))/(color(green)(c)/color(purple)(d)) = (color(red)(a) xx color(purple)(d))/(color(blue)(b) xx color(green)(c))#
#(color(red)(27)/color(blue)(50))/(color(green)(3)/color(purple)(5)) => (color(red)(27) xx color(purple)(5))/(color(blue)(50) xx color(green)(3)) => (cancel(color(red)(27))color(red)(9) xx cancel(color(purple)(5))color(purple)(1))/(cancel(color(blue)(50))color(blue)(10) xx cancel(color(green)(3))color(green)(1)) => (color(red)(9) xx color(purple)(1))/(color(blue)(10) xx color(green)(1)) => 9/10#
