Answer
$$\frac{12x+4}{30x+10}=\frac{2}{5}$$
Explanation
| $$ \begin{aligned}\frac{12x+4}{30x+10}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{2}{5}\end{aligned} $$ | |
| ① | Simplify $ \dfrac{12x+4}{30x+10} $ to $ \dfrac{2}{5} $. Factor both the denominator and the numerator, then cancel the common factor. $\color{blue}{6x+2}$. $$ \begin{aligned} \frac{12x+4}{30x+10} & =\frac{ 2 \cdot \color{blue}{ \left( 6x+2 \right) }}{ 5 \cdot \color{blue}{ \left( 6x+2 \right) }} = \\[1ex] &= \frac{2}{5} \end{aligned} $$ |
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