divide and simplify
-1/6 divided by 2/9
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and denominator.
Therefore, the division of -1/6 by 2/9 is:
(-1/6) divided by (2/9) = (-1/6) * (9/2)
Now, let's simplify this expression:
(-1/6) * (9/2) = -1 * 9 / 6 * 2
Multiplying the numerators:
-1 * 9 = -9
Multiplying the denominators:
6 * 2 = 12
So, the simplified expression is -9/12.