Proposition: Product of Two Ratios

Let \(a,b,c,d\) be real numbers with \(b\neq 0\) and \(d\neq 0\). Then the product of the ratios $\frac ab$ and $\frac cd$ equals the ratio $\frac {ac}{bd}$, formally $$\frac ab\cdot\frac cd=\frac {a\cdot c}{b\cdot d}.$$

Proofs: 1


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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983