Express the following in the form of a+ib
`(1+i)/(2+3i)`

Explanation

To express \(\frac{1+i}{2+3i}\) in the form of \(a + ib\), we will follow these steps:

### Step 1: Multiply the numerator and denominator by the conjugate of the denominator
The conjugate of \(2 + 3i\) is \(2 - 3i\). We will multiply both the numerator and the denominator by this conjugate.

\[ \frac{1+i}{2+3i} \cdot \frac{2-3i}{2-3i} = \frac{(1+i)(2-3i)}{(2+3i)(2-3i)} \]
...