Question
Find $ \dfrac{ 1 }{ 3 } + \dfrac{ 1 }{ 4 } $
Answer
$$ \dfrac{ 1 }{ 3 } + \dfrac{ 1 }{ 4 } = \dfrac{ 7 }{ 12 } $$
Explanation
| $\dfrac{ 1 }{ 3 } + \dfrac{ 1 }{ 4 }$ | = | Make denominators the same by multiplying the first fraction by 4 and, the second fraction by 3.$$\dfrac{ 1 }{ 3 } = \frac{ 1 \color{blue}{\cdot 4 } }{ 3 \color{blue}{ \cdot 4 }} = \frac{ 4 }{ 12 }$$$$\dfrac{ 1 }{ 4 } = \frac{ 1 \color{blue}{\cdot 3 } }{ 4 \color{blue}{ \cdot 3 }} = \frac{ 3 }{ 12 }$$ | |||
| = | $\dfrac{ 4 }{ 12 } + \dfrac{ 3 }{ 12 }$ | = | Add the numerators to get the result | ||
| = | $\dfrac{ 7 }{ 12 }$ |
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