Question
Find $ 2 : \dfrac{ 1 }{ 3 } $
Answer
$$ 2 : \dfrac{ 1 }{ 3 } = 6 $$
Explanation
| $2 : \dfrac{ 1 }{ 3 }$ | = | Convert mixed numbers to fractions.$$\color{blue}{ 2 }$$ | |||
| = | $\dfrac{ 2 }{ 1 } : \dfrac{ 1 }{ 3 }$ | = | Turn the second fraction upside down (this is now as reciprocal), and change the operation to multiplication. | ||
| = | $\dfrac{ 2 }{ 1 } ~ \color{blue}{\cdot ~ \dfrac{ 3 }{ 1 } }$ | = | Multiply the numerators, and the denominators to get the result. | ||
| = | $6$ |
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