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División de Fracciones-Soluciones


3\div \frac{1}{5}

 

3\div \frac{1}{5}=\frac{3}{1}\div \frac{1}{5}=\frac{3\cdot 5}{1\cdot 1}=15

 

 

x^{2}\div -\frac{1}{3}

 

x^{2}\div -\frac{1}{3}=\frac{x^{2}}{1}\div -\frac{1}{3}=\frac{x^{2}\cdot 3}{1\cdot 1}=3x^{2}  

 

 

\frac{\sqrt{2}}{3}\div \frac{3}{2\sqrt{2}}\div \frac{1}{3}

 

\frac{\sqrt{2}}{3}\div \frac{3}{2\sqrt{2}}\div \frac{1}{3}=\left (\frac{\sqrt{2}}{3}\div \frac{3}{2\sqrt{2}} \right )\div \frac{1}{3}

 

\frac{\sqrt{2}}{3}\div \frac{3}{2\sqrt{2}}=\frac{\sqrt{2}\cdot 2\sqrt{2}}{3\cdot 3}=\frac{2\cdot 2}{9}=\frac{4}{9}

 

\frac{4}{9}\div \frac{1}{3}=\frac{4\cdot 3}{9\cdot 1}=\frac{12}{9}=\frac{4}{3}