Question
Answer
$$5\cdot\dfrac{b}{2}\cdot\dfrac{8}{3}=\dfrac{40b}{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5 \cdot \frac{b}{2}\cdot\frac{8}{3}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{5b}{2}\cdot\frac{8}{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{40b}{6}\end{aligned} $$ | |
| ① | Multiply $5$ by $ \dfrac{b}{2} $ to get $ \dfrac{ 5b }{ 2 } $. Step 1: Write $ 5 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 5 \cdot \frac{b}{2} & \xlongequal{\text{Step 1}} \frac{5}{\color{red}{1}} \cdot \frac{b}{2} \xlongequal{\text{Step 2}} \frac{ 5 \cdot b }{ 1 \cdot 2 } \xlongequal{\text{Step 3}} \frac{ 5b }{ 2 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{5b}{2} $ by $ \dfrac{8}{3} $ to get $ \dfrac{ 40b }{ 6 } $. Step 1: Multiply numerators and denominators. Step 2: Simplify numerator and denominator. $$ \begin{aligned} \frac{5b}{2} \cdot \frac{8}{3} \xlongequal{\text{Step 1}} \frac{ 5b \cdot 8 }{ 2 \cdot 3 } \xlongequal{\text{Step 2}} \frac{ 40b }{ 6 } \end{aligned} $$ |
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