To divide fractions, we can multiply by the reciprocal of the divisor.
First, let's write the division problem as a multiplication problem:
(3/2) / (9/8) * (-11/3)
Now, let's multiply by the reciprocal of 9/8:
(3/2) * (8/9) * (-11/3)
Next, multiply the numerators and denominators:
(3 * 8 * -11) / (2 * 9 * 3)
Calculate the numerator:
-264
Calculate the denominator:
54
So, the final answer is:
-264/54 = -44/9
3/2 divided 9/8 times and - 11/3
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