import math

class Fraction:

def $\_\_$init$\_\_($self$,$ numerator, denominator$)$:

self.$\_$numerator $=$ numerator

if denominator $!=0$:

self.$\_$denominator $=$ denominator

else:

self.$\_$denominator $=1$

def setDenominator$($self$,$ den$)$:

if den $!=0$:

self.$\_$denominator $=$ den

def setNumerator$($self$,$ den$)$:

self.$\_$numerator $=$ den

def getDenominator$($self$)$:

return self.$\_$denominator

def getNumerator$($self$)$:

return self.$\_$numerator

def reduce$($self$)$:

gcDenom $=$ math.gcd$($self$.\_$numerator, self.$\_$denominator$)$

self.$\_$numerator $=$ self.$\_$numerator $//$ gcDenom

self.$\_$denominator $//=$ gcDenom

################################

# $------->$ This needs to be implemented

################################

def add$($self$,$ frac$)$:

################################

# $------->$ This needs to be implemented

################################

def subtract$($self$,$ frac$)$:

print$($f$"$subtracting $\{$frac$\}$ from $\{$self$\}")$

def $\_\_$str$\_\_($self$)$:

return f$"\{$self$.\_$numerator$\}/\{$self$.\_$denominator$\}"$

class MixedNumber$($Fraction$)$:

def $\_\_$init$\_\_($self$,$ whole, numerator, denominator$)$:

super$().\_\_$init$\_\_($numerator$,$ denominator$)$

self.$\_$whole $=$ whole

def setWhole$($self$,$ whole$)$:

self.$\_$whole $=$ whole

def reduce$($self$)$:

super$().$reduce$()$

whole $=$ self.$\_$numerator $//$ self.$\_$denominator

remainder $=$ self.$\_$numerator $\%$ self.$\_$denominator

self.$\_$numerator $=$ remainder

self.$\_$whole $+=$ whole

#############################

# $------->$ This needs to be implemented

#############################

def add$($self$,$ mixedNum$)$:

#############################

# $------->$ This needs to be implemented

#############################

def subtract$($self$,$ mixedNum$)$:

def $\_\_$str$\_\_($self$)$:

if self.$\_$whole $==0$:

return super$().\_\_$str$\_\_()$

elif self.$\_$numerator $==0$:

return f$"\{$self$.\_$whole$\}"$

return f$"\{$self$.\_$whole$\}\{$super$().\_\_$str$\_\_()\}"$

This Code Below Is for test values

# This program should use the Fraction and MixedNumber

# classes and test their add$()$ methods

#

# Try several values to test, including adding a Fraction

# to a MixedNumber. The code below is merely an example of

# how the add$()$ methods are to be used.

from fraction import Fraction

from fraction import MixedNumber

def main$()$:

frac$1=$ Fraction$(1,2)$ # $1/2$

frac$2=$ Fraction$(1,4)$ # $1/4$

frac$1.$add$($frac$2)$ # adds frac$2$ to frac$1,$ so frac$1$ should be $3/4$

# frac$2$ is unchanged, still $1/4$

frac$1.$subtract$($frac$2)$ # subtracts frac$2$ from frac$1,$ so frac$1$ should be $1/2$

mn$1=$ MixedNumber$(1,2,3)$ # $12/3$

mn$2=$ MixedNumber$(2,1,6)$ # $21/6$

mn$2.$add$($mn$1)$ # adds mn$1$ to mn$2,$ so mn$2$ should be $35/6$; mn$1$ is unchanged

mn$2.$subtract$($mn$1)$ # subtracts mn$2$ from mn$1,$ so mn$1$ should be $12/3$

if $\_\_$name$\_\_==\text{'}\_\_$main$\_\_\text{'}$:

main$()$