Question
Answer
$$\dfrac{1}{r}\cdot2+\dfrac{1}{r}\cdot2=\dfrac{4}{r}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{1}{r}\cdot2+\frac{1}{r}\cdot2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(2+2)\cdot\frac{1}{r} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4\cdot\frac{1}{r} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{4}{r}\end{aligned} $$ | |
| ① | Use the distributive property. |
| ② | Combine like terms: $$ \color{blue}{2} + \color{blue}{2} = \color{blue}{4} $$ |
| ③ | Multiply $4$ by $ \dfrac{1}{r} $ to get $ \dfrac{ 4 }{ r } $. 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. $$ \begin{aligned} 4 \cdot \frac{1}{r} & \xlongequal{\text{Step 1}} \frac{4}{\color{red}{1}} \cdot \frac{1}{r} \xlongequal{\text{Step 2}} \frac{ 4 \cdot 1 }{ 1 \cdot r } \xlongequal{\text{Step 3}} \frac{ 4 }{ r } \end{aligned} $$ |
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