8.2. a) Agent 007 wants to encrypt his number using two natural numbers $m$ and $n$ such that $0.07=\frac{1}{m}+\frac{1}{n}$. Can he do this? b) Can his colleague, Agent 013, encrypt his number in a similar way?
Answer: a) will be able to; b) will be able to. The solution follows from the equalities: $0.07=0.05+0.02=\frac{1}{20}+\frac{1}{50}$ and $0.13=\frac{25}{200}+\frac{1}{200}=\frac{1}{8}+\frac{1}{200}$