Answer
$$\frac{3}{2}(\frac{12}{36}+\frac{20}{2})=\frac{31}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{3}{2}(\frac{12}{36}+\frac{20}{2})& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{3}{2}\cdot\frac{31}{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{31}{2}\end{aligned} $$ | |
| ① | Combine like terms |
| ② | Multiply $ \dfrac{3}{2} $ by $ \dfrac{31}{3} $ to get $ \dfrac{31}{2} $. Cancel $ \color{blue}{ 3 } $ in first and second fraction. Step 2: Multiply numerators and denominators. $$ \begin{aligned} \frac{3}{2} \cdot \frac{31}{3} & = \frac{\color{blue}{1}}{2} \cdot \frac{31}{\color{blue}{1}} = \frac{31}{2} \end{aligned} $$ |
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Simplify Rational Expressions