  The $(p_+,p_-)$ singlet algebra is a vertex operator algebra that is strongly
generated by a Virasoro field of central charge $1-6(p_+-p_-)^2/p_+p_-$ and a
single Virasoro primary field of conformal weight $(2p_+-1)(2p_--1)$. Here, the
modular properties of the characters of the uncountably many simple modules of
each singlet algebra are investigated and the results used as the input to a
continuous analogue of the Verlinde formula to obtain the "fusion rules" of the
singlet modules. The effect of the failure of fusion to be exact in general is
studied at the level of Verlinde products and the rules derived are lifted to
the $(p_+,p_-)$ triplet algebras by regarding these algebras as simple current
extensions of their singlet cousins. The result is a relatively effortless
derivation of the triplet "fusion rules" that agrees with those previously
proposed in the literature.
