Höfum að $$1+\frac{1}{2+\frac{1}{3+\frac{1}{4+\frac{1}{5}}}}= 1+\frac{1}{2+\frac{1}{3+\frac{5}{21}}} =1+\frac{1}{2+\frac{21}{68}} =1+\frac{68}{157}=\frac{225}{157}. $$