%0 Journal Article %T The Distribution of Special Subsets of the Farey Sequence %A Alan K. Haynes %J Mathematics %D 2009 %I arXiv %X In this paper we generalize some of our results from, `A note on Farey fractions with odd denominators' to subsets of Farey fractions consisting of fractions with denominators not divisible by a given prime. We also investigate the joint distribution of numerators of differences of h-tuples of consecutive fractions in these sets. %U http://arxiv.org/abs/0907.2171v1