To determine whether the product of \(\sqrt{49}\) and \(\frac{1}{3}\) is rational or irrational without solving, we can analyze each component:
- \(\sqrt{49} = 7\), which is a rational number.
- \(\frac{1}{3}\) is also a rational number.
The product of two rational numbers is always rational.
Therefore, the product of \(\sqrt{49}\) and \(\frac{1}{3}\) will be rational.
So, the answer is 1 (for rational).