%2B(1%2F8%2B5%2F6i).jpeg "(3/4-2/3i)+(1/8+5/6i)")
Adding Complex Numbers
This article will guide you through the process of adding two complex numbers: (3/4 - 2/3i) + (1/8 + 5/6i).
Understanding Complex Numbers
A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit defined as the square root of -1.
Adding Complex Numbers
To add complex numbers, we simply add the real parts and the imaginary parts separately.
Step 1: Combine Real Parts The real parts of our complex numbers are (3/4) and (1/8).
(3/4) + (1/8) = 7/8
Step 2: Combine Imaginary Parts The imaginary parts of our complex numbers are (-2/3i) and (5/6i).
(-2/3i) + (5/6i) = 1/6i
Step 3: Combine Results Finally, combine the results from Step 1 and Step 2 to get the sum of the two complex numbers.
(3/4 - 2/3i) + (1/8 + 5/6i) = 7/8 + 1/6i
Conclusion
Therefore, the sum of the two complex numbers (3/4 - 2/3i) and (1/8 + 5/6i) is 7/8 + 1/6i.