First compute \( \frac{3}{14} \times \frac{2}{3} \), then check each option.<br><br>
&bull; \( \frac{3}{14} \times \frac{2}{3} = \frac{6}{42} = \frac{1}{7} \)<br>
&bull; Option A: \( \frac{5}{7} \times \frac{1}{5} = \frac{5}{35} = \frac{1}{7} \) ✓<br>
&bull; Option B: \( \frac{2}{5} \times \frac{1}{5} = \frac{2}{25} \) &ne; \( \frac{1}{7} \)<br>
&bull; Option C: \( \frac{2}{7} \times \frac{7}{10} = \frac{14}{70} = \frac{1}{5} \) &ne; \( \frac{1}{7} \)<br>
&bull; Option D: \( \frac{4}{9} \times \frac{9}{14} = \frac{36}{126} = \frac{2}{7} \) &ne; \( \frac{1}{7} \)<br><br>
Final Answer: A: \( \frac{5}{7} \times \frac{1}{5} \)