Question
Find $ 3 ~ \dfrac{ 1 }{ 4 } ~ \cdot ~ 2 ~ \dfrac{ 3 }{ 2 } $
Answer
$$ 3 ~ \dfrac{ 1 }{ 4 } ~ \cdot ~ 2 ~ \dfrac{ 3 }{ 2 } = \dfrac{ 91 }{ 8 } $$
Explanation
| $3 ~ \dfrac{ 1 }{ 4 } ~ \cdot ~ 2 ~ \dfrac{ 3 }{ 2 }$ | = | Convert mixed numbers to fractions.$$\color{blue}{ 3 } ~ \dfrac{ 1 }{ \color{red}{ 4 } } = \frac{ \color{red}{ 4 } \cdot \color{blue}{ 3 } + 1 }{ \color{red}{ 4 } } = \frac{ 13 }{ 4 }$$$$\color{blue}{ 2 } ~ \dfrac{ 3 }{ \color{red}{ 2 } } = \frac{ \color{red}{ 2 } \cdot \color{blue}{ 2 } + 3 }{ \color{red}{ 2 } } = \frac{ 7 }{ 2 }$$ | |||
| = | $\dfrac{ 13 }{ 4 } ~ \cdot ~ \dfrac{ 7 }{ 2 }$ | = | Multiply the numerators, and the denominators to get the result. | ||
| = | $\dfrac{ 91 }{ 8 }$ |
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