Question
Answer
$$40\cdot\dfrac{n^2}{30}n=\dfrac{40n^3}{30}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}40 \cdot \frac{n^2}{30}n& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{40n^2}{30}n \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{40n^3}{30}\end{aligned} $$ | |
| ① | Multiply $40$ by $ \dfrac{n^2}{30} $ to get $ \dfrac{ 40n^2 }{ 30 } $. Step 1: Write $ 40 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 40 \cdot \frac{n^2}{30} & \xlongequal{\text{Step 1}} \frac{40}{\color{red}{1}} \cdot \frac{n^2}{30} \xlongequal{\text{Step 2}} \frac{ 40 \cdot n^2 }{ 1 \cdot 30 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 40n^2 }{ 30 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{40n^2}{30} $ by $ n $ to get $ \dfrac{ 40n^3 }{ 30 } $. Step 1: Write $ n $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{40n^2}{30} \cdot n & \xlongequal{\text{Step 1}} \frac{40n^2}{30} \cdot \frac{n}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 40n^2 \cdot n }{ 30 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 40n^3 }{ 30 } \end{aligned} $$ |
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