Question
Answer
$$2q+\dfrac{5}{2}q=\dfrac{9q}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2q+\frac{5}{2}q& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(2+\frac{5}{2})q \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{9}{2}q \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{9q}{2}\end{aligned} $$ | |
| ① | Use the distributive property. |
| ② | Combine like terms |
| ③ | Multiply $ \dfrac{9}{2} $ by $ q $ to get $ \dfrac{ 9q }{ 2 } $. Step 1: Write $ q $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{9}{2} \cdot q & \xlongequal{\text{Step 1}} \frac{9}{2} \cdot \frac{q}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 9 \cdot q }{ 2 \cdot 1 } \xlongequal{\text{Step 3}} \frac{ 9q }{ 2 } \end{aligned} $$ |
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