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

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

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Adjacent Fraction

Cite this as:

Weisstein, Eric W. "Adjacent Fraction." From MathWorld--A Wolfram Web Resource.

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