Question
Answer
$$\dfrac{\dfrac{12}{9}}{3}=\dfrac{4}{9}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\frac{12}{9}}{3}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{ \frac{ 12 : \color{orangered}{ 3 } }{ 9 : \color{orangered}{ 3 }} }{ 3 } \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{\frac{4}{3}}{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{4}{9}\end{aligned} $$ | |
| ① | Divide both the top and bottom numbers by $ \color{orangered}{ 3 } $. |
| ② | Divide $ \dfrac{4}{3} $ by $ 3 $ to get $ \dfrac{4}{9} $. To divide rational expressions, multiply the first fraction by the reciprocal of the second fraction. Step 2: Multiply numerators and denominators. $$ \begin{aligned} \frac{ \frac{4}{3} }{3} = \frac{4}{3} \cdot \frac{\color{blue}{1}}{\color{blue}{3}} = \frac{4}{9} \end{aligned} $$ |
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Simplify Rational Expressions