Question
Answer
$$9\cdot\dfrac{b}{-12b}=\dfrac{9b}{-12b}$$
Explanation
| $$ \begin{aligned}9 \cdot \frac{b}{-12b}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{9b}{-12b}\end{aligned} $$ | |
| ① | Multiply $9$ by $ \dfrac{b}{-12b} $ to get $ \dfrac{ 9b }{ -12b } $. Step 1: Write $ 9 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 9 \cdot \frac{b}{-12b} & \xlongequal{\text{Step 1}} \frac{9}{\color{red}{1}} \cdot \frac{b}{-12b} \xlongequal{\text{Step 2}} \frac{ 9 \cdot b }{ 1 \cdot \left( -12b \right) } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 9b }{ -12b } \end{aligned} $$ |
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Simplify Rational Expressions