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How would you write $\frac{a}{0.1}$?

Are either of these ways acceptable?

$$ \frac{\frac{a}{1}}{\frac{\frac{1}{10}}{1}} = \frac{a}{1} \times \frac{1}{\frac{1}{10}} $$ or $$ \frac{\frac{a}{1}}{\frac{1}{10}} = \frac{a}{1} \times \frac{10}{1} $$

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  • $\begingroup$ You might be interested in learning to post mathematical expressions using MathJax and $\LaTeX$. In any case dividing by one-tenth is the same as multiplying by ten, right? If you are studying fractions at less than a high school level, it would be helpful to your Readers to say so. $\endgroup$ – hardmath May 12 '16 at 21:23
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Both expressions are correct and yield $10a$ in the completely simplified form.

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Both expressions are correct, but it's very important for you to know the following expressions. Here's some good examples:


Note: Do the parentheses before the division

$$\frac{\frac{2}{3}}{\frac{4}{5}}=\frac{(\frac{2}{3})}{(\frac{4}{5})}= \frac{5}{6}\tag1$$


$$\frac{\frac{0.4}{2}}{2\frac{3}{5}} = \frac{(\frac{0.4}{2})}{(2\frac{3}{5})}=\frac{\frac{2}{5}\times\frac{1}{2}}{\frac{13}{5}}=\frac{\frac{1}{5}}{\frac{13}{5}}=\frac{1}{5}\times\frac{5}{13}=13 \tag2$$


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