A piece of plywood, the surface of which measures 8/9 square yard, is cut into sections each containing 2/9 square yard. How many sections are there?

2 answers

(8/9) / (2/9)
(8/9) * (9/2) = 72/18 = 4
poorly worded question:
the original piece could be an infinite number of dimensions,
e.g. 2/3 by 4/3 or 1/3 by 8/3
or 1.25/3 by 6.4/3 or √8/3 by √8/3 or ....

similarly, we are not given the dimensions of the cut-off piece only its area
it could be 1/3 by 2/3 or 1.25/3 by 1.6/3 etc.

If we only want exact values, off the top we can see that
a starting piece of 2/3 by 4/3 will let us take 4 pieces of 2/3 by 1/3

Since we are cutting plywood, we would be losing lengths due to sawcuts, but ...
oh, never mind.