We have observed 23.2 +/- 6.0(-0.9)(+1.0) purely-leptonic decays of D-s(+) --> mu(+)nu(mu) from a sample of muonic one prong decay events detected in the emulsion target of Fermilab experiment E653. Using the D-s(+) --> phi mu(+)nu(mu) yield measured previously in this experiment, we obtain B(D-s(+) --> mu(+)nu(mu))/B(D-s(+) --> phi mu(+)nu(mu)) = 0.16 +/- 0.06 +/- 0.03 In addition, we extract the decay constant f(Ds) = 194 +/- 35 +/- 20 +/- 14 MeV.