(1 + i)/(1 + 2i)
To simplify this, we need to multiply both sides by the conjugate.
(1 + i)(1 - 2i)
1 - 2i - i - 3i^2
Combine like terms.
3i^2 - 3i + 1
i^2 = -1
-3i - 2 is the simplified numerator.
(1 + 2i)(1 - 2i)
1 - 2i + 2i - 4i^2
1 - 4i^2
i^2 = -2
1 + 4
5
The simplified expression is ((-3i)/5) + ((-2)/5)