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If a diffraction grating has 500 slits/mm, what is the spacing between each slit?

Evidently the spacing between each slit is given by the inverse of that ratio. I am having trouble grasping this fact. To attempting to gain some insight, I began with something simple: suppose we have two slits, both of which, including the space between them, are 1 inch in length, [itex]\displaystyle \frac{2~slits}{1~in}[/itex]. The inverse of this, [itex]\displaystyle \frac{0.5~in}{1~slit}[/itex], suggests that there...And this is where the uncertainty comes into play. I would view the ratio as saying that each slit is 0.5 inches in length, and two together would be 1 inch; but this suggests that there is no spacing between.

Could someone possibly help me?