# How would I solve this fraction division problem?

$$\frac {\frac {5}{8}} {2\frac{1}{2}}$$

I understand how to divide it by flipping the numbers (reciprocal) and what not. I just don't know what to do with the $2$ next to the division sign.

Help?

Probably it means $2\frac{1}{2}$ which is $\frac{5}{2}$

• Oh crap, I didn't even notice that it was a mixed fraction. Thought it might have been something else. Thanks! – SS' Sep 8 '11 at 21:21
• Yet another reason to either parenthesize or just use improper fractions... – J. M. is a poor mathematician Sep 9 '11 at 1:36

We have:$$\frac {\frac {5}{8}} {2\frac{1}{2}}$$ We will need to convert the mixed number (a combination of a whole number and a fraction) to an improper fraction:

$\implies$ $$\frac{\frac {5}{8}}{\frac{5}{2}}$$ We'll need to rotate $\frac{5}{2}$.

$\implies$ $\frac{5}{8} * \frac {2}{5} = \frac {1} {4}$