# What is #0.66666...# as a fraction?

##### 2 Answers

#### Explanation:

I would say from your sentence the possible fractions is;

Which gives the repeated sequence of

That's for geometric progression in finding the least fraction..

But in converting the decimal

Hence,

But with

#### Explanation:

I think you intended

In which case see what happens when we multiply by

#10 * 0.66666... = 6.66666...#

So if we subtract the original, we get an integer. That is:

#(10 - 1) * 0.66666.... = 6.66666... - 0.66666... = 6#

Dividing both ends by

#0.66666... = 6/(10-1) = 6/9 = 2/3#