Question
Find $ \dfrac{ 1 }{ 2 } + \dfrac{ 2 }{ 3 } $
Answer
$$ \dfrac{ 1 }{ 2 } + \dfrac{ 2 }{ 3 } = \dfrac{ 7 }{ 6 } $$
Explanation
| $\dfrac{ 1 }{ 2 } + \dfrac{ 2 }{ 3 }$ | = | Make denominators the same by multiplying the first fraction by 3 and, the second fraction by 2.$$\dfrac{ 1 }{ 2 } = \frac{ 1 \color{blue}{\cdot 3 } }{ 2 \color{blue}{ \cdot 3 }} = \frac{ 3 }{ 6 }$$$$\dfrac{ 2 }{ 3 } = \frac{ 2 \color{blue}{\cdot 2 } }{ 3 \color{blue}{ \cdot 2 }} = \frac{ 4 }{ 6 }$$ | |||
| = | $\dfrac{ 3 }{ 6 } + \dfrac{ 4 }{ 6 }$ | = | Add the numerators to get the result | ||
| = | $\dfrac{ 7 }{ 6 }$ |
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