To solve this expression, we first simplify each part individually:

3 3/8 = 27/8
4/9
9.54 = 954/100 = 477/50
5.1 = 51/10
2.9 = 29/10

Now we can plug these values into the expression:

(27/8) * (4/9) + 477/50 / (51/10 - 29/10)

To simplify further:
27/8 4/9 = 108/72 = 3/2
477/50 / (51/10 - 29/10) = 477/50 / (22/10) = (477/50) (10/22) = 477/25

Now we can put it all together:
(3/2) + (477/25) = (75/50) + (477/25) = (75 + 954)/50 = 1029/50

Therefore, the final result is:
1029/50