Answer
$$\frac{-\frac{11}{9}}{\frac{1}{3}}=-\frac{11}{3}$$
Explanation
| $$ \begin{aligned}\frac{-\frac{11}{9}}{\frac{1}{3}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-\frac{11}{3}\end{aligned} $$ | |
| ① | Divide $ \dfrac{-11}{9} $ by $ \dfrac{1}{3} $ to get $ \dfrac{-11}{3} $. Step 1: To divide rational expressions, multiply the first fraction by the reciprocal of the second fraction. Step 2: Multiply numerators and denominators. Step 3: Cancel down by $ \color{blue}{3} $ $$ \begin{aligned} \frac{ \frac{-11}{9} }{ \frac{\color{blue}{1}}{\color{blue}{3}} } & \xlongequal{\text{Step 1}} \frac{-11}{9} \cdot \frac{\color{blue}{3}}{\color{blue}{1}} = \\[1ex] & \xlongequal{\text{Step 2}} \frac{-33 : \color{blue}{3}}{9 : \color{blue}{3}}= \frac{-11}{3} \end{aligned} $$ |
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