Question
Answer
$$49x^2 \cdot \dfrac{y^3}{56x^3y^2}=\dfrac{49x^2y^3}{56x^3y^2}$$
Explanation
| $$ \begin{aligned}49x^2\frac{y^3}{56x^3y^2}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{49x^2y^3}{56x^3y^2}\end{aligned} $$ | |
| ① | Multiply $49x^2$ by $ \dfrac{y^3}{56x^3y^2} $ to get $ \dfrac{ 49x^2y^3 }{ 56x^3y^2 } $. Step 1: Write $ 49x^2 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 49x^2 \cdot \frac{y^3}{56x^3y^2} & \xlongequal{\text{Step 1}} \frac{49x^2}{\color{red}{1}} \cdot \frac{y^3}{56x^3y^2} \xlongequal{\text{Step 2}} \frac{ 49x^2 \cdot y^3 }{ 1 \cdot 56x^3y^2 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 49x^2y^3 }{ 56x^3y^2 } \end{aligned} $$ |
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