Benutzer:RicHanspach/Mathematik

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<language>Javascript</language>
== Klasenstufe 7 ==

=== Bruchrechnung ===

<code id="58e747583a7de" hidden>
function ggT(m, n) {
 if (n == 0)
  return m;
 else
  return ggT(n, m % n);
} 
</code>

==== Addition ====

Rechenregel:

<blockquote><math>\frac{z_1}{n_1}+\frac{z_2}{n_2}=\frac{z_1 \cdot n_2 + z_2 \cdot n_1}{n_1 \cdot n_2}</math></blockquote>

Berechnung:
<code id="58e747583a879">
function Addition(z1, n1, z2, n2) {
 var z = z1 * n2 + z2 * n1;
 var n = n1 * n2;
 var t = ggT(z,n);  
 z = z / t
 n = n / t
 return (z + "/" + n);
}
</code>
<run id="58e747583a921">
Addition(1, 2, 1, 3);
</run>




==== Subtraktion ====

Rechenregel:

<blockquote><math>\frac{z_1}{n_1}-\frac{z_2}{n_2}=\frac{z_1 \cdot n_2 - z_2 \cdot n_1}{n_1 \cdot n_2}</math></blockquote>

Berechnung:
<code id="58e74f849b09c">
function Addition(z1, n1, z2, n2) {
 var z = z1 * n2 - z2 * n1;
 var n = n1 * n2;
 var t = ggT(z,n);  
 z = z / t
 n = n / t
 return (z + "/" + n);
}
</code>
<run id="58e74f849b195">
Subtraktion(1, 2, 1, 3);
</run>




==== Multiplikation ====

Rechenregel:

<blockquote><math>\frac{z_1}{n_1} \cdot \frac{z_2}{n_2}=\frac{z_1 \cdot z_2}  {n_1 \cdot n_2}</math></blockquote>

Berechnung:
<code id="58e74f849b11e">
function Addition(z1, n1, z2, n2) {
 var z = z1 * z2;
 var n = n1 * n2;
 var t = ggT(z,n);  
 z = z / t
 n = n / t
 return (z + "/" + n);
}
</code>
<run id="58e74f849b207">
Multiplikation(1, 2, 1, 3);
</run>




==== Division ====

Rechenregel:

<blockquote><math>\frac{z_1}{n_1} : \frac{z_2}{n_2}=\frac{z_1} {n_1} \cdot \frac {n_2}{z_2} </blockquote>