Mediant

Given a Farey Sequence with consecutive terms $h/k$ and $h'/k'$, then the mediant is defined as the reduced form of the fraction $(h+h')/(k+k')$.

See also 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.