public class Rational{


//Instanzvariablen


private int num;
private int denom;
private int newnum;
private int newdenom;
private int i, j; // Schleife
private double erg;


//Konstruktoren
public Rational(int n, int d){
this.num = n;
this.denom = d;
}


public Rational(int n){
this.num = n;
this.denom = 1;
}


//Methoden

public String reciprocal(){
	
	return denom + "/" + num;
}

public String ausgabe(){
	
erg = (double)num/(double)denom;

return num + "/" + denom + " = " +erg;

}


//Zähler setzen
void setNum(int num)
{
	this.num = num;
}


// Nenner setzen
void setDenom(int denom){
	this.denom = denom;
}

//Zählerausgabe
public int getNum(){
	return num;
}


//Nennerausgabe
public int getDenom(){
	return denom;
}


//Kürzen
public Rational cut(){
newnum = this.num;
newdenom = this.denom;

if (this.denom < this.num){
		for (i = this.denom; i > 1; i--){
			if(this.denom % i == 0 && this.num % i == 0 ){
					newdenom = this.denom / i;
					newnum = this.num / i;
			 		i = 2;
			}	
		}
	}	
else if (this.denom > this.num){
		for (i = this.num; i > 1; i--){
			if(this.denom % i == 0 && this.num % i == 0 ){
					newdenom = this.denom / i;
					newnum = this.num / i;
			 		i = 2;
			}				
		}
	}	
	

return new Rational (newnum, newdenom);	
}


//Addition
public Rational add(Rational onner){

	if (this.denom == onner.denom){
		newnum = this.num+onner.num;
		newdenom = this.denom;
}
	else{
		
		newnum = this.num * onner.denom + onner.num * this.denom;

		newdenom = this.denom * onner.denom;
}

	Rational Wat = new Rational (newnum, newdenom);

return Wat.cut();

}

//Subtraktion
public Rational sub(Rational onner){
	
	if (this.denom == onner.denom){
		newnum = this.num-onner.num;
		newdenom = this.denom;
}
	else{
		
		newnum = this.num * onner.denom - onner.num * this.denom;

		newdenom = this.denom * onner.denom;
}

	Rational Wat = new Rational (newnum, newdenom);

return Wat.cut();

}


//Multiplikation zweier Klassen
public Rational mult(Rational onner){
	newnum = this.num * onner.getNum();
	newdenom = this.denom * onner.getDenom();

	Rational Wat = new Rational (newnum, newdenom);

return Wat.cut();

}

//Division zweier Brüche
public Rational div(Rational onner){
	
	newnum = this.num * onner.denom;
	newdenom = this.denom * onner.num;

	Rational Wat = new Rational (newnum, newdenom);

return Wat.cut();

}


@Override
public String toString(){
return num + "/" + denom;
}

}