Question

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

Answer 1

Answer:

$\large\boxed{\dfrac{8}{9}n-\dfrac{4}{3}}$

Step-by-step explanation:

$\dfrac{4}{9}(2n-3)\qquad\text{use the distributive property}\\\\=\left(\dfrac{4}{9}\right)(2n)+\left(\dfrac{4}{9}\right)(-3)=\dfrac{8}{9}n-\dfrac{4}{3}$

Answer 2

Equivalent expression are the equation which have the same identical solution for the variable but the way of representation is different. The given expression in the problem is equivalent to the,

$f(n)=\dfrac{8}{9}n -1\dfrac{1}{3}$

Thus the option 4 is the correct option.

Given Information-

The given expression $f(n)$ is,

$f(n)=\dfrac{4}{9} (2n-3)$

Equivalent expression-

Equivalent expression are the equation which have the same identical solution for the variable but the way of representation is different.

Open the bracket of above equation by multiplying the fraction with the numbers inside the bracket.

$f(n)=\dfrac{4\times 2n}{9} -\dfrac{4\times 3}{9}$

$f(n)=\dfrac{8n}{9} -\dfrac{12}{9}$

$f(n)=\dfrac{8n}{9} -\dfrac{4}{3}$

Fraction 4/c can be written as the mixed number. Thus,

$f(n)=\dfrac{8}{9}n -1\dfrac{1}{3}$

Hence the given expression in the problem is equivalent to the,

$f(n)=\dfrac{8}{9}n -1\dfrac{1}{3}$

Thus the option 4 is the correct option.

Learn more about the equivalent equation here;

https://brainly.com/question/14332869