write o.369 repeating as a fraction

41/111 = 0.3693693693693694

41/111 is your answer

Let x = 0.369369369....

 

Then 1000x = 369.369369369...

 

Subtract the first equation from the second to get   999x = 369

 

Divide by 999 to get  x = 369/999   

 

Simplify: x = 41/111