Question
Answer
$$54\cdot\dfrac{x}{18}x=\dfrac{54x^2}{18}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}54 \cdot \frac{x}{18}x& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{54x}{18}x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{54x^2}{18}\end{aligned} $$ | |
| ① | Multiply $54$ by $ \dfrac{x}{18} $ to get $ \dfrac{ 54x }{ 18 } $. Step 1: Write $ 54 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 54 \cdot \frac{x}{18} & \xlongequal{\text{Step 1}} \frac{54}{\color{red}{1}} \cdot \frac{x}{18} \xlongequal{\text{Step 2}} \frac{ 54 \cdot x }{ 1 \cdot 18 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 54x }{ 18 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{54x}{18} $ by $ x $ to get $ \dfrac{ 54x^2 }{ 18 } $. Step 1: Write $ x $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{54x}{18} \cdot x & \xlongequal{\text{Step 1}} \frac{54x}{18} \cdot \frac{x}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 54x \cdot x }{ 18 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 54x^2 }{ 18 } \end{aligned} $$ |
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