I have used distilled water and RO/DI water quite a bit and there are some things you need to know before using it.
First, it is just water. No minerals, trace elements or even oxygen usually. Therefore you should take some precautions when using it. There also is usually no heavy metals, chlorine, nitrates or other polutants. This can be very good since you know what is in it and can add whatever you need to make it acceptable for your fish.
The first thing I do with mine is to add some buffers since there is no buffering, or carbonate hardness. In my case I add Seachems alkaline buffer and acid buffer. There is a ratio formula on the bottles and I add that in until I reach my desired hardness and ph. This ensures that the PH, KH and GH of the water is correct. Without doing this the PH of the water can swing drastically. If you are cutting your tap water with this then you would need to experiment with amounts to know whether to mix it 50/50 or less to get the desired hardness.
The next thing I do is to aerate the water for at least an hour. Distilled or RO water will be very oxygen depleted and the first time I used it I found that my fish were all gasping at the surface. Since aerating the water beforehand I have not seen this behavior again.
The final thing I do is to add some seachem "fresh trace" which has some electrolites and other trace elements that not only are missing from RO/DI water but also get used by the animals and plants in the tank. Sort of like Gatorade for your fish.
If you are mixing this with tap water you may not need to add the traces and you may not need to add buffers if your tap water is very high in carbonate hardness and the PH will probably revert to something very close to your tap water since that is the PH that it is buffered at. You will need to get a GH/KH test kit if you don't have one so you know what changes you need to make to have this water be safe for your fish.
Aerating is still needed unless you want to sufficate your fish.
Hope this helps.