Express the following in the form of a + ib
(i) `( 4+ 3i)/(5 + 3i)`

Explanation

To express the complex number \((4 + 3i)/(5 + 3i)\) in the form \(a + ib\), we will follow these steps:

### Step 1: Multiply by the Conjugate
To eliminate the imaginary part from the denominator, we multiply both the numerator and the denominator by the conjugate of the denominator, which is \(5 - 3i\).

\[ \frac{4 + 3i}{5 + 3i} \cdot \frac{5 - 3i}{5 - 3i} \]
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