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Question

Answer

$$\dfrac{9}{100}+\dfrac{3}{25}=\dfrac{21}{100}$$

Explanation
$$ \begin{aligned}\frac{9}{100}+\frac{3}{25}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{21}{100}\end{aligned} $$
①

Add $ \dfrac{9}{100} $ and $ \dfrac{3}{25} $ to get $ \dfrac{ \color{purple}{ 21 } }{ 100 }$.

To add fractions they must have the same denominator.
We can create a common denominator by multiplying the second fraction by $\color{blue}{4}$.

$$ \begin{aligned} \frac{9}{100} + \frac{3}{25} & = \frac{ 9 }{ 100 } + \frac{ 3 \cdot \color{blue}{ 4 }}{ 25 \cdot \color{blue}{ 4 }} = \\[1ex] &=\frac{ \color{purple}{ 9 } }{ 100 } + \frac{ \color{purple}{ 12 } }{ 100 }=\frac{ \color{purple}{ 21 } }{ 100 } \end{aligned} $$
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