  We numerically investigate the fractal structure of two-dimensional quantum
gravity coupled to matter central charge c for $-2 \leq c \leq 1$. We
reformulate Q-state Potts model into the model which can be identified as a
weighted percolation cluster model and can make continuous change of Q, which
relates c, on the dynamically triangulated lattice. The c-dependence of the
critical coupling is measured from the percolation probability and
susceptibility. The c-dependence of the string susceptibility of the quantum
surface is evaluated and has very good agreement with the theoretical
predictions. The c-dependence of the fractal dimension based on the finite size
scaling hypothesis is measured and has excellent agreement with one of the
theoretical predictions previously proposed except for the region near
$c\approx 1$.
