Question

Which expression is equivalent to 4/9 (2n-3)?A. 2n-1 1/3B. 8/9n-1 1/3C. 2n-3D. 8/9n-3

Answer 1

Given the expression:

`(4)/(9)(2n-3)`

to find an equivalent expression, we start by applying the distributive property of real numbers:

`(4)/(9)(2n-3)=(4)/(9)\cdot2n-(4)/(9)\cdot3`

Now we multiply each term to get the following:

`(4)/(9)\cdot2n-(4)/(9)\cdot3=(8)/(9)n-(12)/(9)=(8)/(9)n-(4)/(3)=(8)/(9)n-1(1)/(3)`

therefore, the equivalent expression is 8/9n-1 1/3