divide and simplify

-1/6 divided by 2/9
-1/27
-2/15
-3/4
3/8

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

(-1/6) ÷ (2/9) = (-1/6) x (9/2)

Simplifying the numerator:

(-1) x (9) = -9

Simplifying the denominator:

6 x 2 = 12

So, the answer is -9/12.

Next, we can simplify this fraction further by dividing both the numerator and the denominator by their greatest common divisor.

The greatest common divisor of 9 and 12 is 3.

Dividing the numerator and denominator by 3:

-9 ÷ 3 = -3
12 ÷ 3 = 4

Therefore, -9/12 simplifies to -3/4.