Question
Answer
$$24\cdot\dfrac{r^3}{9}r^2=\dfrac{24r^5}{9}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}24 \cdot \frac{r^3}{9}r^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{24r^3}{9}r^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{24r^5}{9}\end{aligned} $$ | |
| ① | Multiply $24$ by $ \dfrac{r^3}{9} $ to get $ \dfrac{ 24r^3 }{ 9 } $. Step 1: Write $ 24 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 24 \cdot \frac{r^3}{9} & \xlongequal{\text{Step 1}} \frac{24}{\color{red}{1}} \cdot \frac{r^3}{9} \xlongequal{\text{Step 2}} \frac{ 24 \cdot r^3 }{ 1 \cdot 9 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 24r^3 }{ 9 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{24r^3}{9} $ by $ r^2 $ to get $ \dfrac{ 24r^5 }{ 9 } $. Step 1: Write $ r^2 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{24r^3}{9} \cdot r^2 & \xlongequal{\text{Step 1}} \frac{24r^3}{9} \cdot \frac{r^2}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 24r^3 \cdot r^2 }{ 9 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 24r^5 }{ 9 } \end{aligned} $$ |
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