Yes, it is greater.
Think about it!! Take a pie cut it into 6 pieces, then take another pie and cut it into 9 pieces, which has larger pieces? Every piece of the pie cut into 6 pieces is 1/6th and every piece cut into 9 pieces is 1/9th .
If you were to give them a common denominator (make the bottom number the same)...
Let's take 54 because 6x9=54
1/6 = 9/54
(do the same to the top of the fraction as you did to the bottom, in this case what you did to the bottom of the fraction was multiplying by nine)
1/9 = 6/54
(again, so the same to the numerator (top) as you do to the denominator (bottom))
9/54 is greater than 6/54
So 1/6 is greater than 1/9.