Question 703862
Look just at the 0.666666... part.  Finding fraction form is by looking for reciprocal.  Find 1 divided by 0.66666... 


For convenience, try 1 divided by 0.667.  What do you get?  Something close to 1.499.  This is very close to 1.5, but that is near the RECIPROCAL of 0.666666..., so what then is the reciprocal of 1.5?  (One point five is same as one and a half which is the same as three halves).
...
You will find 2/3.