public class Bruch {
public int zaehler;
public int nenner;
public Bruch(int zaehler, int nenner) {
this.zaehler = zaehler;
this.nenner = nenner;
}
public Bruch(int zaehler) {
this.zaehler = zaehler;
this.nenner = 1;
}
public String toString() {
this.kuerze();
String s = this.zaehler + " / " + this.nenner;
return s;
}
public void addiere(Bruch b) {
this.zaehler = (this.zaehler * b.nenner) + (b.zaehler * this.nenner);
this.nenner = this.nenner * b.nenner;
this.kuerze();
}
public void subtrahiere(Bruch b) {
this.zaehler = (this.zaehler * b.nenner) - (b.zaehler * this.nenner);
this.nenner = this.nenner * b.nenner;
this.kuerze();
}
public void multipliziere(Bruch b) {
this.zaehler = this.zaehler * b.zaehler;
this.nenner = this.nenner * b.nenner;
this.kuerze();
}
public void dividiere(Bruch b) {
this.zaehler = this.zaehler * b.nenner;
this.nenner = this.nenner * b.zaehler;
this.kuerze();
}
public double wert() {
double wert = (double) this.zaehler / (double) this.nenner;
return wert;
}
public void kuerze() {
int ggT = ggT(this.zaehler, this.nenner);
this.nenner = this.nenner / ggT;
this.zaehler = this.zaehler / ggT;
}
private static int ggT(int x, int y) {
while (y != 0) {
int temp = x % y;
x = y;
y = temp;
}
return x;
}
public static Bruch addiere(Bruch a, Bruch b) {
int zaehler = (a.nenner * b.zaehler) + (b.nenner * a.zaehler);
int nenner = a.nenner * b.nenner;
Bruch c = new Bruch(zaehler, nenner);
c.kuerze();
return c;
}
public static Bruch subtrahiere(Bruch a, Bruch b) {
int zaehler = (b.nenner * a.zaehler) - (a.nenner * b.zaehler);
int nenner = a.nenner * b.nenner;
Bruch c = new Bruch(zaehler, nenner);
c.kuerze();
return c;
}
public static Bruch multipliziere(Bruch a, Bruch b) {
int zaehler = a.zaehler * b.zaehler;
int nenner = b.nenner * a.nenner;
Bruch c = new Bruch(zaehler, nenner);
c.kuerze();
return c;
}
public static Bruch dividiere(Bruch a, Bruch b) {
int zaehler = a.zaehler * b.nenner;
int nenner = a.nenner * b.zaehler;
Bruch c = new Bruch(zaehler, nenner);
c.kuerze();
return c;
}
//Nur für Jack Static Result
public static void main(String[] args) {
}
}
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