Fractional division

     Before closing off the month of october, here is Fractional Division, a devious region division puzzle genre with quite the funny look. The puzzles presented today are quite rough, so easier puzzles may be provided in the future to compensate (although I don't see how you make easy, non-trivial puzzles here). Here are the rules :

Draw lines over the dotted lines to divide the board into regions.

- Each region contains exactly one cell with a number.

- A number indicates the ratio of circles (top) to cells (bottom) in the area (e.g. 2/3 can be 2 dots in 3 cells, 4 dots in 6 cells, 6 in 9 etc.).

Rules taken from puzz.link - click here for a solved example.

     Many thanks to Barbitos, Aubin Danzo, Jubale and Wessel for testing and providing feedback.

Puzzle 1 (easy to medium)

Puzzle 2 (medium to hard)

Puzzle 3 (hard)