Efectúa la multiplicación de las fracciones algebraicas y simplifica:

1. (4a/7b) * (14x^2/5y) = 11x/42y
2. (5/2x^3y) * (102x^2y/3) = 17x/6y
3. (3x^2y/10ab) * (5/14x^2y^2) = 1/24ab
4. (16a^2bx/5) * (10x^2/4b^2) = 32a^2x^3/5b
5. (3x^2b/4y) * (2x/3y^2) = x/6y
6. (5m/25) * (14m/7) = 2m/5
7. (b^2/5) / (6b/30) = b/6
8. (2mx^2/2n) / (3m^2x^3/2) = 4x/n
9. (14x/21) / (24x^2/16) = 2/3x
10. (30x/18) / (6x^2/5) = 25/36x