This letter presents the results from the MiniBooNE experiment within a full "3+1" scenario where one sterile neutrino is introduced to the three-active-neutrino picture. In addition to electron-neutrino appearance at short-baselines, this scenario also allows for disappearance of the muon-neutrino and electron-neutrino fluxes in the Booster Neutrino Beam, which is shared by the MicroBooNE experiment. We present the 3+1 fit to the MiniBooNE electron-(anti)neutrino and muon-(anti)neutrino data alone, and in combination with the MicroBooNE electron-neutrino CCQE data. The best-fit parameters of this joint fit are $\Delta m^2 = 0.209$ eV, $|U_{e4}|^2 = 0.502$, $|U_{\mu 4}|^2 = 0.0158$, and $\sin^2(2\theta_{\mu e})=0.0316$. Comparing the no-oscillation scenario to the 3+1 model, the data prefer the 3+1 model with a $\Delta \chi^2/\text{dof} = 24.7 / 3$.