Converting Fischer projections to Zig-zag structures can seem daunting at first. With a little practice, it gets much easier. A good general approach is to draw the side view of the Fischer projection and then convert it to the Zig-zag structure by rotating every other chiral center.
Observe the initial Fischer projection. In this representation:
Use the controls above to change the substituents and number of stereocenters, and observe how the Fischer projection changes.
Now, let's translate the Fischer projection into a side view. This view helps us understand the spatial arrangement of the substituents:
Observe how the side view corresponds to the Fischer projection you have set using the controls above.
To obtain a more stable, realistic representation, we transform the side view into a zig-zag structure:
Observe how the zig-zag structure is generated from the side view, and how it relates back to your initial Fischer projection.