Answer: 389/30
Explanation:
Let's break it apart first
(9/2*8/3)+(4/3*5/4)-(3/-5*-7/6)
9/2*8/3 = 72/6 -simplifed to-> 36/3 (this can be further simplied but lets keep it like this to make it easier later on.)
4/3*5/4 = 20/12 -simplified to-> 5/3
3/-5*-7/6 = -21/-30 -simplifed to-> 21/30
Not lets add 36/3+5/3 = 41/3
Now we must subtract 41/3 - 21/30
Let's make 41/3 have the same denominator as 21/30
41 * 10 = 410 & 3 * 10 = 30
410/3 - 21/30 = 389/30