Question
Find $ 3 ~ \dfrac{ 2 }{ 5 } - 1 ~ \dfrac{ 3 }{ 5 } $
Answer
$$ 3 ~ \dfrac{ 2 }{ 5 } - 1 ~ \dfrac{ 3 }{ 5 } = \dfrac{ 9 }{ 5 } $$
Explanation
| $3 ~ \dfrac{ 2 }{ 5 } - 1 ~ \dfrac{ 3 }{ 5 }$ | = | Convert mixed numbers to fractions.$$\color{blue}{ 3 } ~ \dfrac{ 2 }{ \color{red}{ 5 } } = \frac{ \color{red}{ 5 } \cdot \color{blue}{ 3 } + 2 }{ \color{red}{ 5 } } = \frac{ 17 }{ 5 }$$$$\color{blue}{ 1 } ~ \dfrac{ 3 }{ \color{red}{ 5 } } = \frac{ \color{red}{ 5 } \cdot \color{blue}{ 1 } + 3 }{ \color{red}{ 5 } } = \frac{ 8 }{ 5 }$$ | |||
| = | $\dfrac{ 17 }{ 5 } - \dfrac{ 8 }{ 5 }$ | = | Subtract the numerators to get the result | ||
| = | $\dfrac{ 9 }{ 5 }$ |
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