Dividing fractions is basically multiplying.
3/2 divided by -9/8
When you divide with fractions, you find the reciprocal of the 2nd number (in this case -9/8), which means you flip it, giving you 8/-9. When you do this, you change the sign to multiplication. Now, just solve:
3 * 8 = 24
-- -- --- = 4/-3
2 * -9 = -18
Hope this helps! :)