Question
Answer
$$108\cdot\dfrac{x^2}{140}=\dfrac{108x^2}{140}$$
Explanation
| $$ \begin{aligned}108 \cdot \frac{x^2}{140}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{108x^2}{140}\end{aligned} $$ | |
| ① | Multiply $108$ by $ \dfrac{x^2}{140} $ to get $ \dfrac{ 108x^2 }{ 140 } $. Step 1: Write $ 108 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 108 \cdot \frac{x^2}{140} & \xlongequal{\text{Step 1}} \frac{108}{\color{red}{1}} \cdot \frac{x^2}{140} \xlongequal{\text{Step 2}} \frac{ 108 \cdot x^2 }{ 1 \cdot 140 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 108x^2 }{ 140 } \end{aligned} $$ |
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Simplify Rational Expressions