Question
Find $ \dfrac{ 5 }{ 6 } - \dfrac{ 1 }{ 2 } $
Answer
$$ \dfrac{ 5 }{ 6 } - \dfrac{ 1 }{ 2 } = \dfrac{ 1 }{ 3 } $$
Explanation
| $\dfrac{ 5 }{ 6 } - \dfrac{ 1 }{ 2 }$ | = | Make denominators the same by multiply the top and bottom of the second fraction by 3.$$\dfrac{ 1 }{ 2 } = \frac{ 1 \color{blue}{\cdot 3 } }{ 2 \color{blue}{ \cdot 3 }} = \frac{ 3 }{ 6 }$$ | |||
| = | $\dfrac{ 5 }{ 6 } - \dfrac{ 3 }{ 6 }$ | = | Subtract the numerators to get the result | ||
| = | $\dfrac{ 2 }{ 6 }$ | = | Simplify $ \dfrac{ 2 }{ 6 } $ by dividing both 2 and 6 by their GCD, which is 2. GCD(2, 6) = 2. $$ \frac{ 2 }{ 6 } = \frac{ 2 : \color{blue}{ 2 } }{ 6 : \color{blue}{ 2 } } = \frac{ 1 }{ 3 } $$ |
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| = | $\dfrac{ 1 }{ 3 }$ |
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