Question
Answer
$$16m\dfrac{n}{18}n=\dfrac{16mn^2}{18}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}16m\frac{n}{18}n& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{16mn}{18}n \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{16mn^2}{18}\end{aligned} $$ | |
| ① | Multiply $16m$ by $ \dfrac{n}{18} $ to get $ \dfrac{ 16mn }{ 18 } $. Step 1: Write $ 16m $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 16m \cdot \frac{n}{18} & \xlongequal{\text{Step 1}} \frac{16m}{\color{red}{1}} \cdot \frac{n}{18} \xlongequal{\text{Step 2}} \frac{ 16m \cdot n }{ 1 \cdot 18 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 16mn }{ 18 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{16mn}{18} $ by $ n $ to get $ \dfrac{ 16mn^2 }{ 18 } $. 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. $$ \begin{aligned} \frac{16mn}{18} \cdot n & \xlongequal{\text{Step 1}} \frac{16mn}{18} \cdot \frac{n}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 16mn \cdot n }{ 18 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 16mn^2 }{ 18 } \end{aligned} $$ |
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