Question

If $\frac{p}{q}$ is a rational number, then

• A. both p and q can be equal to zero
• B. p cannot be equal to 0
• C. q cannot be equal to 0
• D. both p and q cannot be equal to zero

Answer 1

The correct option is C

q cannot be equal to 0

A rational number cannot have its denominator as zero as it is not defined.

But numerator can be 0 as 0 divided by any number will give 0.

So p can be 0 but q cannot be 0.