SOLUTION: Simplify the expression and write the result in standard a+bi form. Show all work. 1/3+i=

Question 189902: Simplify the expression and write the result in standard a+bi form. Show all work.
1/3+i=
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Multiply the fraction by .

Combine the fractions.

Distribute.

FOIL the denominator.

Replace with -1

Simplify

Combine like terms.

Break up the fraction.

Reduce.

So .

So the expression is now in standard form where and

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