To multiply the fractions \( \frac{2}{7} \) and \( \frac{3}{7} \), you multiply the numerators and the denominators:
\[ \frac{2}{7} \times \frac{3}{7} = \frac{2 \times 3}{7 \times 7} = \frac{6}{49} \]
So the correct product is \( \frac{6}{49} \), not \( \frac{6}{7} \).