Chapter 0, Problem 18PRT

To determine

To calculate: The value of expression $\frac{1}{2}+\frac{4}{9}$ in the simplest form.

Answer to Problem 18PRT

The value of expression $\frac{1}{2}+\frac{4}{9}$ in the simplest form is $\frac{17}{18}$ .

Explanation of Solution

Given information:

The given expression is $\frac{1}{2}+\frac{4}{9}$ .

Formula used:

The addition of two or more terms is denoted by $+$ sign that is if two terms are separated by $+$ then they are added up together.

Calculation:

Consider the provided expression,

  $\frac{1}{2}+\frac{4}{9}$

Observe that the denominator is not same in both the rational numbers, so take the lowest common multiple of denominators 2 and 9 as 18.

  $\begin{array}{c}\frac{1}{2}+\frac{4}{9}=\frac{\left(1\times 9\right)+\left(4\times 2\right)}{18}\\ =\frac{9+8}{18}\\ =\frac{17}{18}\end{array}$

The above expression cannot be simplified further.

Therefore, the value of expression $\frac{1}{2}+\frac{4}{9}$ in the simplest form is $\frac{17}{18}$ .