Express + as a fraction in simplest form.

Step-by-step solution

Let x = and y = (i) Consider x = = 1.32222... 10 x = 13.222... = ...(i) 100 x = ...(ii) Subtracting (i) from (ii), we get 100 x – 10 x = – 90 x = 119 x = (ii) Consider y = = 0.353535... ...(iii) 100 y = 35.3535... = ∴ 100 y – y = – ...(iv) Subtracting (iii) from (iv), we get 99 y = 35 y = Therefore,