Final answer:
To simplify (3)/(-5) + (-1)/(6), find a common denominator, which is 30, convert each fraction to have this denominator, and then add them together to get (-11)/30.
Step-by-step explanation:
To simplify the expression (3)/(-5) + (-1)/(6), you need to find a common denominator and then combine the fractions. The common denominator for 5 and 6 is 30. Now, convert each fraction to an equivalent fraction with this common denominator.
The first term, (3)/(-5), becomes (-6)/30 because 3*(-6) = -18 and -5*6 = -30, and its sign changes according to the subtraction rules. The second term, (-1)/(6), becomes (-5)/30 because -1*(-5) = 5 and 6*5 = 30. Now, you can combine these two fractions:
(-6)/30 + (-5)/30 = (-6 - 5)/30 = (-11)/30.
So, the simplified form of the expression (3)/(-5) + (-1)/(6) is (-11)/30.