simplifying quotient of piecewise functions

*To*: mathgroup at smc.vnet.net*Subject*: [mg96966] simplifying quotient of piecewise functions*From*: Tom Roche <tlroche at gmail.com>*Date*: Sat, 28 Feb 2009 06:43:17 -0500 (EST)

I'm solving some conditional probability density functions. One solution involves a division such that the numerator is (1) \[Piecewise]1/5 (2 \[Chi]+\[Psi]) {0<=\[Chi]<=2,0<=\[Psi]<=1} and the denominator is (2) \[Piecewise]((2 (2+\[Psi]))/5) 0<=\[Psi]<=1 For the quotient, Mathematica 7 is just giving me (1) over (2), rather than (3) \[Piecewise]((2 \[Chi]+\[Psi])/(2 (2+\[Psi]))) {0<=\[Chi]<=2,0<=\[Psi]<=1} even when I append // Simplify and re-evaluate. Am I using the wrong syntax to get the simplified quotient? or am I wrong to expect (3)?