Use what is known as Keep, Change, Flip.
Keep the first fraction, change division to multiplication, and flip the last fraction its reciprocal.
(-3/8) * (-10/9)
First off, a negative times a negative is a positive, so there is no need to keep the negatives in the expression, really.
(3/8) * (10/9)
3 * 10 = 30
8 * 9 = 72
Simplify 30/72. They are both divisible by 6.
30/6=5
72/6=12
Your final answer is 5/12.
I hope this helps! @-Happy7