show that in general, each of the following is false if A, B, and C are whole numbers?

Question

1. A/B = B/A
2. (A/B) / C = A / (B/C)
3. A / (B+C) = (A/B) + (A/C)
4. A / B is a whole numbe

Answer 1

best way to show falsehood is to provide a counter-example

1. 2/3 ≠ 3/2
2. (2/3)/4 ≠ 2/(3/4)
3. 2/(3+4) ≠ (2/3) + (2/4)
4. 2/3 is not a whole number

Extra credit: Can you find cases where the statements are true?