  We derive the upper limit on the dark matter (DM) fraction in primordial
black holes (PBHs) in the mixed DM scenarios. In this scenarios, a PBH can
accrete weakly interacting massive particles (WIMPs) to form a ultracompact
minihalo (UCMH) with a density profile of $\rho_{\rm DM}(r)\sim r^{-9/4}$. The
energy released from UCMHs due to dark matter annihilation has influence on the
photodissociation of $^{4}{\rm He}$, producing the $^{3}{\rm He}$ and the D. By
requiring that the ratio $\rm (^3{He}+D)/H$ caused by UCMHs does not exceed the
measured value, we derive the upper limit on the dark matter fraction in PBHs.
For the canonical value of DM thermally averaged annihilation cross section
$\left<\sigma v\right>=3\times 10^{-26}\rm cm^{3}s^{-1}$, we find that the
upper limit is $f_{\rm PBH} < 0.35(0.75)$ for DM mass $m_{\chi}=1(10)~\rm GeV$.
Compared with other limits obtained by different astronomical measurements,
although our limit is not the strongest, we provide a different way of
constraining the cosmological abundance of PBHs.
