Question
Answer
$$\dfrac{7w-14}{14w-28}=\dfrac{1}{2}$$
Explanation
| $$ \begin{aligned}\frac{7w-14}{14w-28}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{1}{2}\end{aligned} $$ | |
| ① | Simplify $ \dfrac{7w-14}{14w-28} $ to $ \dfrac{1}{2} $. Factor both the denominator and the numerator, then cancel the common factor. $\color{blue}{7w-14}$. $$ \begin{aligned} \frac{7w-14}{14w-28} & =\frac{ 1 \cdot \color{blue}{ \left( 7w-14 \right) }}{ 2 \cdot \color{blue}{ \left( 7w-14 \right) }} = \\[1ex] &= \frac{1}{2} \end{aligned} $$ |
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Simplify Rational Expressions