Question

Which expression is equivalent to 4/9(2n-3)?

A. 2n - 1 1/3
B. 8/9n - 3
C. 2n -3
D. 8/9n - 1 1/3

(I don't think it's C, possibly D??)

Answer 1

The answer is D, 8/9n-11/3 seems correct to me

Answer 2

Option D is correct.

`(8)/(9)n - 1(1)/(3)`

Explanation:

Given that:
`(4)/(9)(2n-3)` .....[1]

The distributive property says that:

`a\cdot (b+c) = a\cdot b + a\cdot c`

Apply the distributive property in equation [1] we get;

`(4)/(9) \cdot 2n+ (4)/(9) \cdot (-3)`

Simplify:

`(8)/(9)n - (4)/(3)`

We can write
`(4)/(3)` in mixed fraction as:

`(4)/(3) = 1(1)/(3)`

then;

`(8)/(9)n - 1(1)/(3)`

Therefore, the expression which is equivalent to
`(4)/(9)(2n-3)` is,
`(8)/(9)n - 1(1)/(3)`