Answer
$$3\cdot\frac{m^2}{6}m=\frac{3m^3}{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3 \cdot \frac{m^2}{6}m& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{3m^2}{6}m \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{3m^3}{6}\end{aligned} $$ | |
| ① | Multiply $3$ by $ \dfrac{m^2}{6} $ to get $ \dfrac{ 3m^2 }{ 6 } $. Step 1: Write $ 3 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 3 \cdot \frac{m^2}{6} & \xlongequal{\text{Step 1}} \frac{3}{\color{red}{1}} \cdot \frac{m^2}{6} \xlongequal{\text{Step 2}} \frac{ 3 \cdot m^2 }{ 1 \cdot 6 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 3m^2 }{ 6 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{3m^2}{6} $ by $ m $ to get $ \dfrac{ 3m^3 }{ 6 } $. Step 1: Write $ m $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{3m^2}{6} \cdot m & \xlongequal{\text{Step 1}} \frac{3m^2}{6} \cdot \frac{m}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 3m^2 \cdot m }{ 6 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 3m^3 }{ 6 } \end{aligned} $$ |
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