Question
Answer
$$15\cdot\dfrac{n}{30}n^3=\dfrac{15n^4}{30}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}15 \cdot \frac{n}{30}n^3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{15n}{30}n^3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{15n^4}{30}\end{aligned} $$ | |
| ① | Multiply $15$ by $ \dfrac{n}{30} $ to get $ \dfrac{ 15n }{ 30 } $. Step 1: Write $ 15 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 15 \cdot \frac{n}{30} & \xlongequal{\text{Step 1}} \frac{15}{\color{red}{1}} \cdot \frac{n}{30} \xlongequal{\text{Step 2}} \frac{ 15 \cdot n }{ 1 \cdot 30 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 15n }{ 30 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{15n}{30} $ by $ n^3 $ to get $ \dfrac{ 15n^4 }{ 30 } $. Step 1: Write $ n^3 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{15n}{30} \cdot n^3 & \xlongequal{\text{Step 1}} \frac{15n}{30} \cdot \frac{n^3}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 15n \cdot n^3 }{ 30 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 15n^4 }{ 30 } \end{aligned} $$ |
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