Ratios of cross sections, σ(Z+c  jets)/σ(Z+jets), σ(Z+b  jets)/σ(Z+jets), and σ(Z+c  jets)/σ(Z+b  jets) in the associated production of a Z boson with at least one charm or bottom quark jet are measured in proton-proton collisions at √s=13  TeV. The data sample, collected by the CMS experiment at the CERN LHC, corresponds to an integrated luminosity of 35.9  fb−1, with a fiducial volume of pT>30  GeV and |η|<2.4 for the jets, where pT and η represent transverse momentum and pseudorapidity, respectively. The Z boson candidates come from leptonic decays into electrons or muons with pT>25  GeV and |η|<2.4, and the dilepton mass satisfies 71