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