Simplify complex number expressions with this math worksheet.

$A worksheet titled "Complex Numbers Worksheets" with six problems requiring simplification of complex fractions involving imaginary numbers.$

A worksheet titled "Complex Numbers Worksheets" with six problems requiring simplification of complex fractions involving imaginary numbers.

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Final Answer:
The simplified forms of the complex fractions are:

1. $\frac{8 + 3i}{-3 + i} = -\frac{27}{10} - \frac{1}{10}i$

2. $\frac{9 + 7i}{1 - 3i} = -\frac{6}{5} + \frac{17}{5}i$

3. $\frac{7 - 7i}{9 - i} = \frac{35}{41} - \frac{28}{41}i$

4. $\frac{5 + i}{8 + i} = \frac{41}{65} + \frac{3}{65}i$

5. $\frac{-10 + i}{-1 + 3i} = \frac{13}{10} + \frac{29}{10}i$

6. $\frac{-3 - 5i}{-8 + 3i} = \frac{9}{73} + \frac{49}{73}i$

7. $\frac{1 + 2i}{5 + i} = \frac{7}{26} + \frac{9}{26}i$

8. $\frac{3 + 3i}{9 - i} = \frac{12}{41} + \frac{15}{41}i$

Parent Tip: Review the logic above to help your child master the concept of simplifying imaginary numbers worksheet.

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