Use the definition of addition for rational numbers to verify that it satisfies the

commutative and associative laws.

Use the definition of multiplication for complex numbers to verify that it satisfies the commutative and associative laws.

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For the first part I did this: is this correct?

$\displaystyle \frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}$

$\displaystyle \frac{c}{d}+\frac{a}{b}=\frac{cb+da}{db}$

$\displaystyle \frac{ad+bc}{bd}=\frac{cb+da}{db}$

EDF