Question

\(\frac{4}{\frac{111}{\frac{2}{111}+}}+\frac{4}{\frac{123}{\frac{2}{123}+}}+\frac{4}{\frac{999}{\frac{2}{999}}}\)

Answer 1

\(\frac{\frac{4}{111}+\frac{4}{123}+\frac{4}{999}}{\frac{2}{111}+\frac{2}{123}+\frac{2}{999}}=\frac{4.\left(\frac{1}{111}+\frac{1}{123}+\frac{1}{999}\right)}{2.\left(\frac{1}{111}+\frac{1}{123}+\frac{1}{999}\right)}=\frac{4}{2}=2\)

Answer 2

\(=\frac{2\left(\frac{2}{111}+\frac{2}{123}+\frac{2}{999}\right)}{\frac{2}{111}+\frac{2}{123}+\frac{2}{999}}\)

\(=2\)