Where is two and four fifths on a number line that is in 10 equal parts?

Answer 1

It depends upon WHERE the 10 equals parts start and finish.

If both ends are greater than 2⅘ or both less than 2⅘ then 2⅘ does NOT appear anywhere on the given number line.

Otherwise it will appear at (2⅘ - start)/(end - start) along the line from start towards end.

Examples:

If the number line is numbers from 0 to 10, it will appear (2⅘ - 0)/(10 - 0) = 7/25 along the line which is at 7/25 × 10 = 2⅘ marks along the line which would be ⅘ of the way from the 2nd mark after the start (labelled 2) towards the next mark (labelled 3).

If the number line is numbers from 2 to 3, it will appear (2⅘ - 2)/(2 - 1) = ⅘ along the line which is at ⅘ × 10 = 8 marks along the line which would be at the eighth mark after the start labelled (2.8 or 2⅘).

Answer 2

The answer depends on where the ten equal parts start and finish. They could, for example, be 0, 100, 200, 300, 400, 500, 600, 700, 800, 900 and 1000, and in that case the location of two and four fifths is very much guess work. If the line has 10 equal parts from 0 to 10, then the number is four fifths of the way from two to three.