Question

Which expression shows the result of applying the distributive property to 1/4(−3n+3/2) ?

Answer 1

1/4(-3n + 3/2) =
-3/4n + 3/8

Answer 2

`(1)/(4)(-3n+(3)/(2))` is
`(-6n+3)/(8)`

Explanation:

Given that:
`(1)/(4)(-3n+(3)/(2))` ......[1]

The distributive property says that:

`a.(b+c)=a.b+a.c`

Apply distributive property on [1] we have;

`=(1)/(4).(-3n)+(1)/(4).(3)/(2)`

Simplify:

`=(-3n)/(4)+(3)/(8)`

`=(-6n+3)/(8)`

Therefore, the expression that shows the result of applying the distributive property to
`(1)/(4)(-3n+(3)/(2))` is
`(-6n+3)/(8)`