\frac{(1)/(a+1) }{a-\frac{1}{{a+(1)/(a)}{} } } someone help please

Question

`\frac{(1)/(a+1) }{a-\frac{1}{{a+(1)/(a)}{} } }` someone help please

Answer 1

Hello,

`a\\eq 0\\\\((1)/(a+1) )/(a-(1)/(a+(1)/(a) )) \\\\\\=\frac{(1)/(a+1)}{\frac{a(a^2+1)+a} {a^2+1} }\\\\\\=(a^2+1)/(a(a+1)(a+2))`