Variations in our estimate of the fraction of quenched galaxies based on the fraction of old SNe Ia given by $1-\xi (z,\frac{\mathcal{R}}{{\mathcal{R}}_{500}})$ as a function of ℛ/ℛ₅₀₀ (black line). The 1σ and 2σ confidence regions associated with this model are shown in blue. These error bars are representative of the data constraining power only between the dashed gray lines as the cluster core and field values of the quenched fraction are fixed to literature values. We compare our results with other estimates of the fraction of quenched galaxies in clusters obtained from Hα line measurements (Kopylova & Kopylov 2019, orange), (Wetzel et al. 2012, purple), and optical broadband photometry (Ayromlou et al. 2021, green) or with the IllustrisTNG hydrodynamical simulations (Donnari et al. 2021, red). The fraction of quenched galaxies measured in field galaxies by Kopylova & Kopylov (2019) is illustrated as an orange point with error bars. We consider a galaxy to be in the field when ℛ/ℛ₅₀₀ > 30.