Krzysztof Kulik
Krzysztof Kulik voted up Joy Twain's answer

Dividing fractions is done like this.

Yours would read:

2/1 divided by 2/3

Change to multiplication and flip:

2/1 times 3/2

2X3 is 6 for the numerator

1X2 is 2 for the denominator

6/2 reduces to 3

So, 2/3 goes into 2  .....  Three times.