When adding or subtracting all fractions must have the same denominator. Find the least common denominator, or at least a common denominator.
In this case it's clear the common denominator is 15.
3/5 = 9/15; 7/3 = 35/15; -13/15 stays as it is; 2/5 = 6/15; -2/3 = -10/15. Now add the new fractions:
9/15 + 35/15 + (-13/15) + 6/15 + (-10/15) = 27/15 = 9/5
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