# Continued fraction convergents

Hi, I think I have the first part of the question correct but can't seem to get the second so any help would be fantastic.

Q: Express $$\frac{327}{117}$$ as a continued fraction and find the convergents of it.

My working:
$$\frac{327}{117}=2 +\frac{93}{117} =2+\frac{1}{\frac{117}{93}}$$

$$\frac{117}{93}=1 + \frac{24}{93} =1+\frac{1}{\frac{93}{24}}$$

I continue like this to finally get:

$$\frac{327}{117}=2 + \frac{1}{1+ \frac{1}{3+\frac{1}{1+\frac{1}{7}}}}$$.

I think it is right, but I can't get the second part at all.

Thanks for any help.