  We discuss a new mass matrix with specific texture zeros for the quarks. The
three flavor mixing angles for the quarks are functions of the quark masses and
can be calculated. The following ratios among CKM matrix elements are given by
ratios of quark masses: |Vtd/Vts| ' q md /ms and |Vub/Vcb| ' p mu/mc . Also we
can calculate two CKM matrix elements: |Vcb| ' |Vts| ' 2 (ms/mb ). This
relation as well as the relation |Vtd/Vts| ' q md /ms are in good agreement
with the experimental data. There is a problem with the relation |Vub/Vcb| ' p
mu/mc , probably due to wrong estimates of the quark masses mu and m
