# How do you simplify (3+i)/i?

Jun 14, 2016

$\frac{3 + i}{i} = 1 - 3 i$

#### Explanation:

$\frac{3 + i}{i}$

= $\frac{\left(3 + i\right) \times \left(- i\right)}{i \times \left(- i\right)}$

= $\frac{- 3 i - {i}^{2}}{- {i}^{2}}$

= $\frac{- 3 i + 1}{1}$

= $1 - 3 i$