I just got this exercise today and understood it quite well, although I want to practice more.

Question

So this isn't really a post asking for help in the operation itself but to know how you call it in English.

I would like to know it so that I can do some research online and get some practice done.

Answer 1

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