Question
Answer
$$16a\dfrac{b}{3}\dfrac{3b^2}{4a^3}=\dfrac{48ab^3}{12a^3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}16a\frac{b}{3}\frac{3b^2}{4a^3}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{16ab}{3}\frac{3b^2}{4a^3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{48ab^3}{12a^3}\end{aligned} $$ | |
| ① | Multiply $16a$ by $ \dfrac{b}{3} $ to get $ \dfrac{ 16ab }{ 3 } $. Step 1: Write $ 16a $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 16a \cdot \frac{b}{3} & \xlongequal{\text{Step 1}} \frac{16a}{\color{red}{1}} \cdot \frac{b}{3} \xlongequal{\text{Step 2}} \frac{ 16a \cdot b }{ 1 \cdot 3 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 16ab }{ 3 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{16ab}{3} $ by $ \dfrac{3b^2}{4a^3} $ to get $ \dfrac{ 48ab^3 }{ 12a^3 } $. Step 1: Multiply numerators and denominators. Step 2: Simplify numerator and denominator. $$ \begin{aligned} \frac{16ab}{3} \cdot \frac{3b^2}{4a^3} & \xlongequal{\text{Step 1}} \frac{ 16ab \cdot 3b^2 }{ 3 \cdot 4a^3 } \xlongequal{\text{Step 2}} \frac{ 48ab^3 }{ 12a^3 } \end{aligned} $$ |
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