Mason writes the steps below to explain that the product of two rational numbers must be rational.

Question

Let q and r be rational numbers. This means that for some integers a, b, c, and d where b≠0 and d≠0, q=a/b and r=c/d.

Complete the third and fourth statements in Mason's explanation by dragging the correct phrases into each statement.

Both the numerator and denominator of ac/bd are _________________ because ____________

So, qr is a rational number because it is equal to _____________________________.