In general, you cannot.
If, in the unlikely event that it is a regular nonagon, you draw the perpendicular bisectors of any two sides. they will intersect at the centre. Join each of the vertices to the centre and you have the required division.
This will not work for non-regular nonagons, which are the majority.
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The smallest number of triangles that you could divide a nonagon into is seven.
The sum of the exterior angles in any polygon is 360 degrees. A nonagon has 9 sides, so to work out a single exterior angle, we divide 360 by 9, which is 40.
No, you still have to divide the numerator and denominator by 3 to get 2/3.
Not a regular nonagon.
there is no equivalent fraction to eight ninths because both of the numbers do not divide by anything equally