Question

Find: `(-4)/5 xx 3/7 xx 15/16 xx ((-14)/9)`.

Answer 1

`(-4)/5 xx 3/7 xx 15/16 xx ((-14)/9)`

`= (- (4 xx 3)/(5 xx 7)) xx ((15 xx (-14))/(16 xx 9))`

`= (-12)/35 xx ((-35)/24)`

`= (-12 xx (-35))/(35 xx 24)`

`= 1/2`.

Answer 2

`(-4)/5 xx 3/7 xx 15/16 xx ((-14)/9)`

`= ((-4)/5 xx 15/16) xx [3/7  xx ((-14)/9)]`        .....(Using commutativity and associativity)

`= (-3)/4 xx ((-2)/3)`

`= 1/2`.