Question
Answer
$$4\cdot\dfrac{a}{5}b=\dfrac{4ab}{5}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4 \cdot \frac{a}{5}b& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{4a}{5}b \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{4ab}{5}\end{aligned} $$ | |
| ① | Multiply $4$ by $ \dfrac{a}{5} $ to get $ \dfrac{ 4a }{ 5 } $. Step 1: Write $ 4 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 4 \cdot \frac{a}{5} & \xlongequal{\text{Step 1}} \frac{4}{\color{red}{1}} \cdot \frac{a}{5} \xlongequal{\text{Step 2}} \frac{ 4 \cdot a }{ 1 \cdot 5 } \xlongequal{\text{Step 3}} \frac{ 4a }{ 5 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{4a}{5} $ by $ b $ to get $ \dfrac{ 4ab }{ 5 } $. Step 1: Write $ b $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{4a}{5} \cdot b & \xlongequal{\text{Step 1}} \frac{4a}{5} \cdot \frac{b}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 4a \cdot b }{ 5 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 4ab }{ 5 } \end{aligned} $$ |
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