Question

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

Answer 1

Answer:

Option D is correct.

$\frac{8}{9}n - 1\frac{1}{3}$

Step-by-step explanation:

Given that: $\frac{4}{9}(2n-3)$   .....[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;

$\frac{4}{9} \cdot 2n+ \frac{4}{9} \cdot (-3)$

Simplify:

$\frac{8}{9}n - \frac{4}{3}$

We can write $\frac{4}{3}$ in mixed fraction as:

$\frac{4}{3} = 1\frac{1}{3}$

then;

$\frac{8}{9}n - 1\frac{1}{3}$

Therefore, the expression which is equivalent to $\frac{4}{9}(2n-3)$  is, $\frac{8}{9}n - 1\frac{1}{3}$

Answer 2

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