Question
Answer
$$\dfrac{5x-10}{3x-6}=\dfrac{5}{3}$$
Explanation
| $$ \begin{aligned}\frac{5x-10}{3x-6}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{5}{3}\end{aligned} $$ | |
| ① | Simplify $ \dfrac{5x-10}{3x-6} $ to $ \dfrac{5}{3} $. Factor both the denominator and the numerator, then cancel the common factor. $\color{blue}{x-2}$. $$ \begin{aligned} \frac{5x-10}{3x-6} & =\frac{ 5 \cdot \color{blue}{ \left( x-2 \right) }}{ 3 \cdot \color{blue}{ \left( x-2 \right) }} = \\[1ex] &= \frac{5}{3} \end{aligned} $$ |
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Simplify Rational Expressions