$$54\cdot\dfrac{z^3}{24}yz=\dfrac{54yz^4}{24}$$
Tap the blue circles to see an explanation.
| $$ \begin{aligned}54 \cdot \frac{z^3}{24}yz& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{54z^3}{24}yz \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{54yz^3}{24}z \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{54yz^4}{24}\end{aligned} $$ | |
| ① | Multiply $54$ by $ \dfrac{z^3}{24} $ to get $ \dfrac{ 54z^3 }{ 24 } $. 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. $$ \begin{aligned} 54 \cdot \frac{z^3}{24} & \xlongequal{\text{Step 1}} \frac{54}{\color{red}{1}} \cdot \frac{z^3}{24} \xlongequal{\text{Step 2}} \frac{ 54 \cdot z^3 }{ 1 \cdot 24 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 54z^3 }{ 24 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{54z^3}{24} $ by $ y $ to get $ \dfrac{ 54yz^3 }{ 24 } $. Step 1: Write $ y $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{54z^3}{24} \cdot y & \xlongequal{\text{Step 1}} \frac{54z^3}{24} \cdot \frac{y}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 54z^3 \cdot y }{ 24 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 54yz^3 }{ 24 } \end{aligned} $$ |
| ③ | Multiply $ \dfrac{54yz^3}{24} $ by $ z $ to get $ \dfrac{ 54yz^4 }{ 24 } $. Step 1: Write $ z $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{54yz^3}{24} \cdot z & \xlongequal{\text{Step 1}} \frac{54yz^3}{24} \cdot \frac{z}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 54yz^3 \cdot z }{ 24 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 54yz^4 }{ 24 } \end{aligned} $$ |