Question: Rational fractions are of the form a/b , where a and b are integers and b ? 0. Suppose a / b and c / d are fractions.

Arithmetic operations on fractions are defined by the subsequent rules:

a / b + c / d = (ad + bc) / bd

a / b - c / d = (ad - bc) / bd

a / b * c / d =  ac / bd

(a / b)  / (c / d) = ad / bc, where c/d ? 0.

Fractions are compared as follows:

a / b   op   c/d   if   ad   op  bc, where op is any relational operator. For example,  a/b  <  c/d if  ad < bc.

Part 1: Create a class, called Rational, for performing arithmetic and relational operations on fractions.

Use integer variables to represent the private instance variables of the class - the numerator and the denominator.

Provide a constructor method that allows an object of this class to be initialized when it is declared. The constructor should store the fraction in reduced form (i.e. the fraction 2/4 would be stored as 1 in the numerator and 2 in the denominator). Provide a no-argument constructor in case no initializers are provided.

a. Overload the arithmetic operators ( +, -, *, / ) , so that the suitable symbol can be used to perform these operations. The result of each operation should be in reduced form.

b. Overload the relational operators ( <, <=, >, >=, ==, != ) , so that the appropriate symbol can be used to perform these operations.

c. Overload the stream insertion and stream extraction operators for input and output.

Part 2: Write a C++ program that, using the rational class performs operations on fractions. Test your class thoroughly.

Show the constructor method and overload the stream insertion and stream extraction operators