Question

(\frac{5 + 7i}{2})

Explanation:

Step1: Split the fraction

We can split the fraction \(\frac{5 + 7i}{2}\) into two separate fractions by using the property \(\frac{a + b}{c}=\frac{a}{c}+\frac{b}{c}\).
\(\frac{5+7i}{2}=\frac{5}{2}+\frac{7i}{2}\)

Step2: Simplify the fractions

Simplify each fraction. \(\frac{5}{2}=2.5\) and \(\frac{7i}{2}=3.5i\)

Answer:

\(\frac{5}{2}+\frac{7}{2}i\) (or \(2.5 + 3.5i\))