Question: The following Java code shows an implementation of a class for the fraction representation for rational numbers. class RationalNum { private int numerator; private int
The following Java code shows an implementation of a class for the fraction representation for rational numbers.
class RationalNum
{
private int numerator;
private int denominator;
// default constructor to initialize the rational number to 0
RationalNum()
{
// Please add your code here
...
}
// initialize the rational number to a/b
RationalNum(final int a, final int b)
{
// Please add your code here
...
}
// copy constructor that is used to initialize the number to ralNum
RationalNum(final RationalNum ralNum)
{
// Please add your code here
...
}
// display the number in the form of numerator/denominator
void display()
{
// Please add your code here
...
}
// addition, returns the sum num1 + num2
static RationalNum add(final RationalNum num1, final RationalNum num2)
{
// Please add your code here
...
}
// subtraction, returns the difference num1 - num2
static RationalNum sub(final RationalNum num1, final RationalNum num2)
{
// Please add your code here
...
}
// multiplication, returns the product num1 * num2
static RationalNum mul(final RationalNum num1, final RationalNum num2)
{
// Please add your code here
...
}
// division, returns the quotient num1/num2
static RationalNum div(final RationalNum num1, final RationalNum num2)
{
// Please add your code here
...
}
/* simplifying the rational number, the numerator and the denominator
in the result should be relatively prime
*/
void simplify()
{
// Please add your code here
...
}
}
Please complete the above class and test it using the following code.
RationalNum a = new RationalNum(2,3);
RationalNum b = new RationalNum(6,4);
RationalNum c = RationalNum.add(a,b);
c.simplify();
a.display();
System.out.print(" + ");
b.display();
System.out.print(" = ");
c.display();
c = RationalNum.sub(a,b);
c.simplify();
a.display();
System.out.print(" - ");
b.display();
System.out.print(" = ");
c.display();
c = RationalNum.mul(a,b);
c.simplify();
a.display();
System.out.print(" * ");
b.display();
System.out.print(" = ");
c.display();
c = RationalNum.div(a,b);
c.simplify();
a.display();
System.out.print(" / ");
b.display();
System.out.print(" = ");
c.display();
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