Answer
$\frac{5}{17}-\frac{20}{17}i$
Work Step by Step
$\frac{1+i}{i}-\frac{3}{4-i}=\frac{(i+1)(4-i)-3i}{i(4-i)}=\frac{4+3i+1-3i}{1+4i}=\frac{5}{1+4i}*\frac{1-4i}{1-4i}=$$\frac{5}{17}-\frac{20}{17}i$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.