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Proposition: Equality of Two Ratios

Let \(a,b,c,d\) be real numbers with \(b\neq 0\) and \(d\neq 0\). Then the ratios $\frac ab$ and $\frac cd$ are equal, if and only if the products $ad$ and $bc$ are equal, formally $$\frac ab=\frac cd\quad\Longleftrightarrow\quad ad=bc.$$

Table of Contents

Proofs: 1

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References

Bibliography

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