Question
Answer
$$14\cdot\dfrac{x}{14x-14}=\dfrac{14x}{14x-14}$$
Explanation
| $$ \begin{aligned}14 \cdot \frac{x}{14x-14}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{14x}{14x-14}\end{aligned} $$ | |
| ① | Multiply $14$ by $ \dfrac{x}{14x-14} $ to get $ \dfrac{ 14x }{ 14x-14 } $. Step 1: Write $ 14 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 14 \cdot \frac{x}{14x-14} & \xlongequal{\text{Step 1}} \frac{14}{\color{red}{1}} \cdot \frac{x}{14x-14} \xlongequal{\text{Step 2}} \frac{ 14 \cdot x }{ 1 \cdot \left( 14x-14 \right) } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 14x }{ 14x-14 } \end{aligned} $$ |
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Simplify Rational Expressions