Math Calculators, Lessons and Formulas

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Question

Answer

$$\dfrac{3}{50}+\dfrac{7}{30}=\dfrac{22}{75}$$

Explanation

Tap the blue circles to see an explanation.

$$ \begin{aligned}\frac{3}{50}+\frac{7}{30}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{44}{150} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}} \frac{ 44 : \color{orangered}{ 2 } }{ 150 : \color{orangered}{ 2 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{22}{75}\end{aligned} $$
①

Add $ \dfrac{3}{50} $ and $ \dfrac{7}{30} $ to get $ \dfrac{ \color{purple}{ 44 } }{ 150 }$.

To add fractions they must have the same denominator.
We can create a common denominator by multiplying the first fraction by $ \color{blue}{ 3 }$ and the second by $\color{blue}{ 5 }$.

$$ \begin{aligned} \frac{3}{50} + \frac{7}{30} & = \frac{ 3 \cdot \color{blue}{ 3 }}{ 50 \cdot \color{blue}{ 3 }} + \frac{ 7 \cdot \color{blue}{ 5 }}{ 30 \cdot \color{blue}{ 5 }} = \\[1ex] &=\frac{ \color{purple}{ 9 } }{ 150 } + \frac{ \color{purple}{ 35 } }{ 150 }=\frac{ \color{purple}{ 44 } }{ 150 } \end{aligned} $$
②
Divide both the top and bottom numbers by $ \color{orangered}{ 2 } $.
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