# I just got this exercise today and understood it quite well, although I want to practice more. So this isn't really a post asking for help in the operation itself but to know how you call it in English. (5-(1)/(2-(3)/(2)))/((1)/(1-(1)/(1-1/5))) I would like to know it so that I can do some research online and get some practice done.

I just got this exercise today and understood it quite well, although I want to practice more.
So this isn't really a post asking for help in the operation itself but to know how you call it in English.
$\frac{5-\frac{1}{2-\frac{3}{2}}}{\frac{1}{1-\frac{1}{1-\frac{1}{5}}}}$
I would like to know it so that I can do some research online and get some practice done.
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i will compute the denominator:
$5-\frac{1}{2-\frac{3}{2}}$
$2-\frac{3}{2}=\frac{4-3}{2}=\frac{1}{2}$
and we have
$5-\frac{1}{\frac{1}{2}}=5-2=3$
can you compute the denominator? at first you must compute
$1-\frac{1}{5}=\frac{4}{5}$
and
$\frac{1}{\frac{4}{5}}=\frac{5}{4}$
and then go on with
$1-\frac{5}{4}$
and so on