Question

Which expression is equivalent to : (2n – 3)? 2n - 3 2n-1 in – 3 $S >

Answer 1

Given the following expression:

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

You have to simplify it in order to find its equivalent expression.

First, apply the Distributive property and multiply the terms inside the parentheses by the fraction that is outside:

`((4)/(9))(2n)+((4)/(9))(-3)=(8)/(9)n-(12)/(9)=(8)/(9)n-(4)/(3)`

Notice that you have this fraction:

`(4)/(3)`

To write it as a Mixed number , you need to divide the numerator 4 by the denominator 3. This gives you 1 with 1 as the remainder. So 1 will be the Whole number and the numerator of the fraction will be 1. The denominator will be the same: 3.

So, the equivalent expression is:

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

The answer is the Third option.