Question

Question statement
Add or subtract. Write fraction in simplest form.
$-\frac{4}{9}+\left(-\frac{23}{18}\right)$

Answer 1

Step 1: $\frac{4}{9}+\left(\frac{23}{18}\right)$

Solving brackets,

We know + - becomes ‘-‘

$\therefore -\frac{4}{9}-\frac{23}{18}$

Step 2: Take ‘-’ common from $-\frac{4}{9}-\frac{23}{18}$ and simplify.

$=-(\frac{4}{9}-\frac{23}{18})$

To add this we have to make denominator same

$$\begin{gathered} =-\left(\frac{4\times 2}{9\times 2}+\frac{23}{18}\right) \\ =-\left(\frac{8}{18}+\frac{23}{18}\right) \\ =-\left(\frac{8+23}{18}\right) \\ =-\frac{31}{18} \end{gathered}$$

Hence $\frac{4}{9}+\left(\frac{23}{18}\right)=-\frac{31}{18}$