Tradescantia plants are very easy to propagate by taking cuttings and rooting them in water or soil.
These plants root fairly quickly (unlike snake plants, where you have to wait months for roots to appear!).
Take stem cuttings a few inches long with a few leaf nodes. Remove the lower leaves.
The best time to propagate plants is at the beginning of the growing season. This is usually in spring, although you can propagate year-round.
Multiply cuttings in water
Water propagation is an almost foolproof way to grow more plants.
Place the leaf cuttings in a glass jar with just enough water to cover the bottom of the cuttings. Keep it in bright, indirect light.
Be sure to change the water regularly and wait for the roots to grow about two inches. Until then, you can transplant the cuttings into a small pot with soil.
Propagating cuttings in the ground
Another way to propagate your Tradescantia is to skip water rooting and stick the cuttings straight into the soil.
Use a rooting hormone to speed up the process. Dip the bottom 1/4 inch of your cuttings in water followed by a soak in the rooting powder.
Fill a small pot with slightly damp potting soil and plant your cutting about 1/2 inch deep.
Place it somewhere with indirect light and wait for new growth to appear.
Want to learn more about plant propagation? read this