# How do you simplify (2-i)/(4+i)?

##### 1 Answer

It is

$\frac{2 - i}{4 + i} = \frac{\left(2 - i\right) \cdot \left(4 - i\right)}{\left(4 + i\right) \cdot \left(4 - i\right)} = \frac{7}{17} - \frac{6}{17} \cdot i$

You multiply and divide with conjugate of the denominator..