Question

Convert 5.764764764 ... to a rational expression in the form of a over b , where b ≠ 0

Answer 1

If x = 5.764764764…, then 1000x = 5764.764764764…, so that

1000x - x = 5764.764764764… - 5.764764764…

999x = 5759

x = 5759/999