Fuming nitric acid is nothing to mess with but if you make your own nitric with nitrate salt (salt peter) and concentrated sulfuric acid and distill the acid you will have made fuming nitric acid. Open the cap and out comes the genie in the bottle wafting out into the room. (or preferably the lab hood) I diluted this acid to 68% to make the azeotrope strength which does not rise up to greet you when you open the cap.
First thing you need to do is determine the % of the concentrate you are starting with. You need a good balance which can weigh to at least 0.01 grams. You also need a 100 ml volumetric flask. (100 ml makes the math easy) Tare the dry flask and fill it with your concentrated acid. You need to know the temperature of the acid in degrees C and this is easiest to measure with an infrared thermometer. Then go on line and find a chart like
this one that tells you the percent acid based on the weight and temperature of your acid.
Now for the math;
C1 x V1=C2 x V2
Where:
C1 is the concentration of the starting solution (which you determined by weighing your concentrate)
V1 is the volume of the starting solution you want to dilute
C2 is the concentration of the final solution (68%)
V2 is the final volume of the solution you want to prepare. (I used 2500 ml because that is the volume of a reagent acid acid bottle here in the US)
I solve for V1, added the required distilled water which is V2-V1, and slowly add the nitric to the water. It will warm up!
Be careful, nitric acid at any strength can hurt you.
I have always had the luxury of having 68% nitric available to use. I made my own only once to see how it was done to be better informed because some members were making their own. It is a viable method and if you do it routinely invest in a nice sized vessel and a heat mantle as well as the requisite glassware to hook up the condenser and receiver. And be careful!