Question
Answer
$$4a^2 \cdot \dfrac{b}{5ab^3}=\dfrac{4a^2b}{5ab^3}$$
Explanation
| $$ \begin{aligned}4a^2\frac{b}{5ab^3}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{4a^2b}{5ab^3}\end{aligned} $$ | |
| ① | Multiply $4a^2$ by $ \dfrac{b}{5ab^3} $ to get $ \dfrac{ 4a^2b }{ 5ab^3 } $. Step 1: Write $ 4a^2 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 4a^2 \cdot \frac{b}{5ab^3} & \xlongequal{\text{Step 1}} \frac{4a^2}{\color{red}{1}} \cdot \frac{b}{5ab^3} \xlongequal{\text{Step 2}} \frac{ 4a^2 \cdot b }{ 1 \cdot 5ab^3 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 4a^2b }{ 5ab^3 } \end{aligned} $$ |
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