Question
Answer
$$2\cdot\dfrac{x^1}{2}\cdot4=x\cdot4$$
Explanation
| $$ \begin{aligned}2 \cdot \frac{x^1}{2}\cdot4& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}x\cdot4\end{aligned} $$ | |
| ① | Multiply $2$ by $ \dfrac{x}{2} $ to get $ x$. Step 1: Write $ 2 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Cancel $ \color{blue}{ 2 } $ in first and second fraction. Step 3: Multiply numerators and denominators. Step 4: Simplify numerator and denominator. $$ \begin{aligned} 2 \cdot \frac{x}{2} & \xlongequal{\text{Step 1}} \frac{2}{\color{red}{1}} \cdot \frac{x}{2} \xlongequal{\text{Step 2}} \frac{\color{blue}{1}}{1} \cdot \frac{x}{\color{blue}{1}} = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 1 \cdot x }{ 1 \cdot 1 } \xlongequal{\text{Step 4}} \frac{ x }{ 1 } =x \end{aligned} $$ |
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Simplify Rational Expressions