Adjacent Fraction

Two Fractions are said to be adjacent if their difference has a unit Numerator. For example, 1/3 and 1/4 are adjacent since $1/3-1/4=1/12$, but $1/2$ and $1/5$ are not since $1/2-1/5=3/10$. Adjacent fractions can be adjacent in a Farey Sequence.

See also Farey Sequence, Ford Circle, Fraction, Numerator

References

Pickover, C. A. Keys to Infinity. New York: Wiley, p. 119, 1995.