First, we need to convert the mixed numbers to improper fractions:

2 + (-4 1/3) + (-1 13/15)

2 + (-13/3) + (-28/15)

Next, we need to find a common denominator for the fractions:

2 + (-65/15) + (-28/15)

Now, we can add the fractions:

2 + (-65/15) + (-28/15) = 2 + (-93/15)

Finally, we can simplify the fraction:

2 + (-93/15) = 2 - 6 3/15 = 2 - 6 1/5 = -4 1/5

Therefore, 2 + (-4 1/3) + (-1 13/15) = -4 1/5