Question

Find the product quotient. Write fraction in simplest form.

$1\frac{4}{9}÷\frac{-2}{9}$

Answer 1

Given, $1\frac{4}{9}÷\frac{-2}{9}$

$$\begin{gathered} \Rightarrow \frac{(9\times 1)+4}{9}÷\frac{-2}{9} \\ \Rightarrow \frac{13}{9}÷\frac{-2}{9} \end{gathered}$$ $\{a\frac{b}{c}=\frac{(a\times c)+b}{c}\}$

$$\begin{gathered} \Rightarrow \frac{13\times 9}{9\times -2} \\ \Rightarrow \frac{13}{-2} \end{gathered}$$ $\{\frac{a}{b}÷\frac{c}{d}=\frac{a\times d}{b\times c}\}$

Hence, the required answer is $-\frac{13}{2}$.