Which is bigger nine halves or nine quarters? How do you know?

Nine halves (if you mean 50 by halves)

Step-by-step explanation:

If halves mean 50, then 9 halves would be larger than 9 quarters, as quarters are only 25. Nine quarters is equal to 225; while nine halves would be equal to 450. 450 is exactly 2 times larger than 225, so that would explain why 9 halves are larger than 9 quarters.

450>225

Therefore; 9 halves would be greater than 9 quarters under the context that halves means 50

See below.

Step-by-step explanation:

First of all 1/2 is bigger than 1/4, in fact 1/2 is twice a 1/4 (because 1/2 = 2/4).

So multiplying both values by 9 will still give one value twice the other.