Question
Answer
$$49\cdot\dfrac{a}{21a-70}=\dfrac{49a}{21a-70}$$
Explanation
| $$ \begin{aligned}49 \cdot \frac{a}{21a-70}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{49a}{21a-70}\end{aligned} $$ | |
| ① | Multiply $49$ by $ \dfrac{a}{21a-70} $ to get $ \dfrac{ 49a }{ 21a-70 } $. Step 1: Write $ 49 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 49 \cdot \frac{a}{21a-70} & \xlongequal{\text{Step 1}} \frac{49}{\color{red}{1}} \cdot \frac{a}{21a-70} \xlongequal{\text{Step 2}} \frac{ 49 \cdot a }{ 1 \cdot \left( 21a-70 \right) } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 49a }{ 21a-70 } \end{aligned} $$ |
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Simplify Rational Expressions