Chapter 8.5, Problem 46CCR

To determine

To simplify the expression $\frac{2}{3}n+\frac{2}{3}+\frac{1}{3}n$

Answer to Problem 46CCR

  $n+\frac{2}{3}$

Explanation of Solution

Given information:

The expression, $\frac{2}{3}n+\frac{2}{3}+\frac{1}{3}n$

Concept used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Calculation:

In order to simplify the given expression, by add the like terms as shown below

  $\begin{array}{c}\frac{2}{3}n+\frac{2}{3}+\frac{1}{3}n\\ =\left(\frac{2}{3}n+\frac{1}{3}n\right)+\frac{2}{3}\\ =\frac{3}{3}n+\frac{2}{3}\\ =n+\frac{2}{3}\end{array}$

Thus, the given expression simplifies to $n+\frac{2}{3}$