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number > elementary arithmetic > cross-multiplication

Terme préférentiel

cross-multiplication

In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable. The method is also occasionally known as the "cross your heart" method because lines resembling a heart outline can be drawn to remember which things to multiply together. Given an equation like
${\\displaystyle {\ rac {a}{b}}={\ rac {c}{d}},}$
where $b$ and $d$ are not zero, one can cross-multiply to get
${\\displaystyle ad=bc\\quad {\ ext{or}}\\quad a={\ rac {bc}{d}}.}$
In Euclidean geometry the same calculation can be achieved by considering the ratios as those of similar triangles.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Cross-multiplication)

elementary arithmetic

règle de trois

français

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RDF/XML TURTLE JSON-LD Date de création 18/07/2023, dernière modification le 18/10/2024