Question

If a×b/c×a = d then I can always cancel a as a will always have to be non zero for ab / ac to be defined?

• A. True
• B. False

Answer 1

Answer: (A)

True

Answer 2

For the expression $\frac{a \times b}{c \times a}$ to be defined, the denominator $c \times a$ must be non-zero. This means that both $c \neq 0$ and $a \neq 0$. Since the condition for the expression to be defined already requires $a$ to be non-zero, $a$ can always be cancelled from the numerator and the denominator, making the statement true.