6). 4 1/3 * 5 + 2.4 : (-0.1) - 14/15 : 1 2/5

1. Convert mixed numbers and decimals to fractions: 13/3 * 5 + 24/10 : (-1/10) - 14/15 : 7/5.

2. Perform multiplication and divisions: 65/3 + 24/10 * (-10) - 14/15 * 5/7 = 65/3 - 24 - 2/3.

3. Combine terms: (65/3 - 2/3) - 24 = 63/3 - 24 = 21 - 24 = -3.

Final Answer: -3