Question
Answer
$$30\cdot\dfrac{x^3}{18x}=\dfrac{30x^3}{18x}$$
Explanation
| $$ \begin{aligned}30 \cdot \frac{x^3}{18x}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{30x^3}{18x}\end{aligned} $$ | |
| ① | Multiply $30$ by $ \dfrac{x^3}{18x} $ to get $ \dfrac{ 30x^3 }{ 18x } $. Step 1: Write $ 30 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 30 \cdot \frac{x^3}{18x} & \xlongequal{\text{Step 1}} \frac{30}{\color{red}{1}} \cdot \frac{x^3}{18x} \xlongequal{\text{Step 2}} \frac{ 30 \cdot x^3 }{ 1 \cdot 18x } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 30x^3 }{ 18x } \end{aligned} $$ |
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Simplify Rational Expressions