Question
Answer
$$30b\dfrac{c}{12}b^3=\dfrac{30b^4c}{12}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}30b\frac{c}{12}b^3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{30bc}{12}b^3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{30b^4c}{12}\end{aligned} $$ | |
| ① | Multiply $30b$ by $ \dfrac{c}{12} $ to get $ \dfrac{ 30bc }{ 12 } $. Step 1: Write $ 30b $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 30b \cdot \frac{c}{12} & \xlongequal{\text{Step 1}} \frac{30b}{\color{red}{1}} \cdot \frac{c}{12} \xlongequal{\text{Step 2}} \frac{ 30b \cdot c }{ 1 \cdot 12 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 30bc }{ 12 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{30bc}{12} $ by $ b^3 $ to get $ \dfrac{ 30b^4c }{ 12 } $. Step 1: Write $ b^3 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{30bc}{12} \cdot b^3 & \xlongequal{\text{Step 1}} \frac{30bc}{12} \cdot \frac{b^3}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 30bc \cdot b^3 }{ 12 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 30b^4c }{ 12 } \end{aligned} $$ |
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