Question
Answer
$$\dfrac{1}{2}x+\dfrac{5}{2}=\dfrac{x+5}{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{1}{2}x+\frac{5}{2}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(x+5)\cdot\frac{1}{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{x+5}{2}\end{aligned} $$ | |
| ① | Use the distributive property. |
| ② | Multiply $x+5$ by $ \dfrac{1}{2} $ to get $ \dfrac{ x+5 }{ 2 } $. Step 1: Write $ x+5 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} x+5 \cdot \frac{1}{2} & \xlongequal{\text{Step 1}} \frac{x+5}{\color{red}{1}} \cdot \frac{1}{2} \xlongequal{\text{Step 2}} \frac{ \left( x+5 \right) \cdot 1 }{ 1 \cdot 2 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ x+5 }{ 2 } \end{aligned} $$ |
This page was created using
Simplify polynomials calculator