  We present a measurement of the branching fractions of the Cabibbo favored
$\overline{B}{}^0\rightarrow D^{+}\pi^{-}$ and the Cabibbo suppressed
$\overline{B}{}^0\rightarrow D^{+}K^{-}$ decays. We find
$\mathcal{B}(\overline{B}{}^0\rightarrow D^{+}\pi^{-}) = (2.48 \pm 0.01 \pm
0.09 \pm 0.04) \times 10^{-3}$ and $\mathcal{B}(\overline{B}{}^0\rightarrow
D^{+}K^{-})= (2.03 \pm 0.05 \pm 0.07 \pm 0.03) \times 10^{-4}$ decays, where
the first uncertainty is statistical, the second is systematic, and the third
uncertainty is due to the $D^{+} \rightarrow K^{-}\pi^{+}\pi^{+}$ branching
fraction. The ratio of branching fractions of $\overline{B}{}^0\rightarrow
D^{+}K^{-}$ and $\overline{B}{}^0\rightarrow D^{+}\pi^{-}$ is measured to be
$R^{D} = [8.19 \pm 0.20(\rm stat) \pm 0.23(\rm syst)] \times 10^{-2} $. These
measurements are performed using the full Belle data set, which corresponds to
$772 \times 10^{6} B\overline{B} $ pairs.
