Final answer:
To add and subtract rational numbers, find a common denominator, rewrite the fractions, and perform the addition/subtraction of the numerators. The result is 13/3.
Step-by-step explanation:
To add and subtract rational numbers, we need to find a common denominator for the fractions involved. In this case, the common denominator is 6. So, we rewrite the fractions with the same denominator and then add/subtract the numerators.
Starting with 1/3 + 2/2 - 3/(-5), we get (2/6) + (6/6) + (18/(-30)).
Combining the numerators, we have 2 + 6 + 18 = 26. And the denominator remains 6 throughout the calculation. So, the result is 26/6, which simplifies to 13/3.