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Question

Answer

$$7+\dfrac{1}{2}=\dfrac{15}{2}$$

Explanation
$$ \begin{aligned}7+\frac{1}{2}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{15}{2}\end{aligned} $$
①

Add $7$ and $ \dfrac{1}{2} $ to get $ \dfrac{ \color{purple}{ 15 } }{ 2 }$.

Step 1: Write $ 7 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: To add fractions they must have the same denominator.
We can create a common denominator by multiplying the first fraction by $\color{blue}{ 2 }$.

$$ \begin{aligned} 7+ \frac{1}{2} & \xlongequal{\text{Step 1}} \frac{7}{\color{red}{1}} + \frac{1}{2} = \frac{ 7 \cdot \color{blue}{ 2 }}{ 1 \cdot \color{blue}{ 2 }} + \frac{ 1 }{ 2 } = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ \color{purple}{ 14 } }{ 2 } + \frac{ \color{purple}{ 1 } }{ 2 }=\frac{ \color{purple}{ 15 } }{ 2 } \end{aligned} $$
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