Question

If x,y and z are the digits of decimal system , then the rational number represented by 0.xzxyxyxyxy........... Is ??

Plz answer it fast .... It's urgent

Answer 1

let P = 0.xzxyxyxyxy....
so, 100P = xz.xyxyxyxy...
10000P = xzxy.xyxyxyxy....

by subtracting -
10000P - 100P = xzxy - xz
9900P = xzxy-xz
So, P = (xzxy-xz)/9900