Exercise $4\mathrm{.}3($fractions$.$py$).$

Any fraction can be written as the division of two integers. You could express this in Python as

a tuple $($numerator$,$ denominator$).$

For example, the fractions $1$

$2,10$

$7,$ and $499$

$10001$ can be represented using the tuples $(1,2),(10,7),$

and $(499,10001).$

Write the following functions:

reduce$($fraction$)$ This function takes a fraction, reduces it$,$ and returns the result. For example,

reduce$((8,4))$ should return $(2,1).$ To reduce a fraction a$/$b$,$ divide a and b by their

GCD$.$ The result is $($a$/$d$)/($b$/$d$).$ The math module comes with the math.gcd function.

add$($fraction$1,$ fraction$2)$ Given two fractions as tuples, add them.

multiply$($fraction$1,$ fraction$2)$ Given two fractions as tuples, multiply them.

divide$($fraction$1,$ fraction$2)$ Given two fractions as tuples, divide them.

These functions should not use input$()$ or print$().$

Write a small command$-$line interface such that the user running your script sees something

like this: