Answer
$$12\cdot\frac{p}{21p-27}=\frac{12p}{21p-27}$$
Explanation
| $$ \begin{aligned}12 \cdot \frac{p}{21p-27}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{12p}{21p-27}\end{aligned} $$ | |
| ① | Multiply $12$ by $ \dfrac{p}{21p-27} $ to get $ \dfrac{ 12p }{ 21p-27 } $. Step 1: Write $ 12 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 12 \cdot \frac{p}{21p-27} & \xlongequal{\text{Step 1}} \frac{12}{\color{red}{1}} \cdot \frac{p}{21p-27} \xlongequal{\text{Step 2}} \frac{ 12 \cdot p }{ 1 \cdot \left( 21p-27 \right) } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 12p }{ 21p-27 } \end{aligned} $$ |
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Simplify Rational Expressions