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??)

Question

asked May 12, 2018 135k views

2 Answers

John Fischer · Answer 1 · 2018-05-16T08:29:21+0000

Answer:

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)