4/9:11/9

To perform the operation 4/9 divided by 11/9, you need to multiply the first fraction by the reciprocal of the second fraction.

Reciprocal of 11/9 is 9/11.

So, the expression becomes:

4/9 ÷ 11/9 = 4/9 × 9/11

Now, you can simplify by canceling out the common factors:

= (4 × 9) / (9 × 11)

= 36/99

Now, you can further simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 9:

= (36 ÷ 9) / (99 ÷ 9)

= 4/11

Therefore, 4/9 divided by 11/9 equals 4/11.