Question
Answer
$$\dfrac{\dfrac{\dfrac{x^2}{3}}{x}}{16}=\dfrac{x^2}{48x}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\frac{\frac{x^2}{3}}{x}}{16}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\frac{x^2}{3x}}{16} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{x^2}{48x}\end{aligned} $$ | |
| ① | Divide $ \dfrac{x^2}{3} $ by $ x $ to get $ \dfrac{ x^2 }{ 3x } $. 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: Simplify numerator and denominator. $$ \begin{aligned} \frac{ \frac{x^2}{3} }{x} & \xlongequal{\text{Step 1}} \frac{x^2}{3} \cdot \frac{\color{blue}{1}}{\color{blue}{x}} \xlongequal{\text{Step 2}} \frac{ x^2 \cdot 1 }{ 3 \cdot x } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ x^2 }{ 3x } \end{aligned} $$ |
| ② | Divide $ \dfrac{x^2}{3x} $ by $ 16 $ to get $ \dfrac{ x^2 }{ 48x } $. 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: Simplify numerator and denominator. $$ \begin{aligned} \frac{ \frac{x^2}{3x} }{16} & \xlongequal{\text{Step 1}} \frac{x^2}{3x} \cdot \frac{\color{blue}{1}}{\color{blue}{16}} \xlongequal{\text{Step 2}} \frac{ x^2 \cdot 1 }{ 3x \cdot 16 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ x^2 }{ 48x } \end{aligned} $$ |
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Simplify Rational Expressions