Simplifying compound fraction: $\frac{3}{\sqrt{5}/5}$ I'm trying to simplify the following:
$$\frac{3}{\ \frac{\sqrt{5}}{5} \ }.$$
I know it is a very simple question but I am stuck. I followed through some instructions on Wolfram which suggests that I multiply the numerator by the reciprocal of the denominator.
The problem is I interpreted that as:
$$\frac{3}{\ \frac{\sqrt{5}}{5} \ } \times \frac{5}{\sqrt{5}},$$
Which I believe is:
$$\frac{15}{\ \frac{5}{5} \ } = \frac{15}{1}.$$
What am I doing wrong?

Start with $$\frac{3}{\sqrt{5}/5}=\frac{15}{\sqrt{5}},$$
and then rationalize the denominator (multiply both numerator and denominator by $\sqrt{5}$) to get
$$\frac{15\sqrt{5}}{5}=3\sqrt{5}.$$
