Math Calculators, Lessons and Formulas

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Question

Answer

$$\dfrac{2}{3}+\dfrac{5}{6}=\dfrac{3}{2}$$

Explanation

Tap the blue circles to see an explanation.

$$ \begin{aligned}\frac{2}{3}+\frac{5}{6}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{9}{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}} \frac{ 9 : \color{orangered}{ 3 } }{ 6 : \color{orangered}{ 3 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{3}{2}\end{aligned} $$
①

Add $ \dfrac{2}{3} $ and $ \dfrac{5}{6} $ to get $ \dfrac{ \color{purple}{ 9 } }{ 6 }$.

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

$$ \begin{aligned} \frac{2}{3} + \frac{5}{6} & = \frac{ 2 \cdot \color{blue}{ 2 }}{ 3 \cdot \color{blue}{ 2 }} + \frac{ 5 }{ 6 } = \\[1ex] &=\frac{ \color{purple}{ 4 } }{ 6 } + \frac{ \color{purple}{ 5 } }{ 6 }=\frac{ \color{purple}{ 9 } }{ 6 } \end{aligned} $$
②
Divide both the top and bottom numbers by $ \color{orangered}{ 3 } $.
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