First Problem

Develop a Complex number class with $+$ and $*.$ Please refer to the development

of class Fraction from our text, by Miller and Ranum, indexed in the syllabus$1$

As a reminder here$$s $+$ as defined for Fraction objects:

$($a$,$ b$)+($c$,$ d$)=($ad $+$ bc$,$ bd$)$

This can also be written as follows $($multiplication is even easier$)$:

a

b

$+$

c

d

$=$

ad $+$ bc

bd

Here$$s how you define addition for complex numbers$2$

:

$($a $+$ ib$)+($c $+$ id$)=($a $+$ c$)+$ i$($b $+$ d$)$

This can also be written as an operation on pairs:

$($a$,$ b$)+($c$,$ d$)=($a $+$ c$,$ b $+$ d$)$