Number Theory > Arithmetic > Fractions v

Mediant

Given a Farey sequence with consecutive terms and , then the mediant is defined as the reduced form of the fraction .

 

Farey Sequence




References

Conway, J. H. and Guy, R. K. "Farey Fractions and Ford Circles." The Book of Numbers. New York: Springer-Verlag, pp. 152-154, 1996.