  This work provides a general discussion of the spatially inhomogeneous
Lema\^itre-Tolman-Bondi (LTB) cosmology, as well as its basic properties and
many useful relevant quantities, such as the cosmological distances. We apply
the concept of the single null geodesic to produce some simple analytical
solutions for observational quantities such as the redshift. As an application
of the single null geodesic technique, we carry out a fractal approach to the
parabolic LTB model, comparing it to the spatially homogeneous Einstein-de
Sitter cosmology. The results obtained indicate that the standard model, in
this case represented by the Einstein-de Sitter cosmology, can be equivalently
described by a fractal distribution of matter, as we found that different
single fractal dimensions describe different scale ranges of the parabolic LTB
matter distribution. It is shown that at large ranges the parabolic LTB model
with fractal dimension equal to 0.5 approximates the matter distribution of the
Einstein-de Sitter universe.
