Simplify -(3/2+5/2i)+(5/3+11/3i)

Problem

−(3/2+5/2*i)+(5/3+11/3*i)

Solution

1. Distribute the negative sign into the first set of parentheses.

−3/2−5/2*i+5/3+11/3*i

2. Group the real parts and the imaginary parts together.

(−3/2+5/3)+(−5/2*i+11/3*i)

3. Find a common denominator for the real parts, which is 6

−9/6+10/6=1/6

4. Find a common denominator for the imaginary parts, which is 6

−15/6*i+22/6*i=7/6*i

5. Combine the results into a single complex expression.

1/6+7/6*i

Final Answer

−(3/2+5/2*i)+(5/3+11/3*i)=1/6+7/6*i

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