We have used the PIBETA detector at the PSI for a precise measurement of rare pion and muon weak decays. We have collected a large statistical sample of (1) pi+ -> e+ nu, (2) pi+ -> pi0 e+ nu, (3) pi+ -> e+ nu gamma, (4) mu+ -> e+ nu nu, and (5) mu+ -> e+ nu nu gamma decays. We have evaluated the absolute branching ratios for these processes by normalizing to the independently measured number of decaying pi+s (or mu+s). We discuss the mutual consistency of the preliminary results.
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