An equivalent fraction is obtained by multiplying or dividing the numerator and denominator by the same number.<br><br>
&bull; \( \frac{1}{4} = \frac{1 \times 6}{4 \times 6} = \frac{6}{24} \) ✓<br>
&bull; \( \frac{3}{15} = \frac{1}{5} \) &#10007;<br>
&bull; \( \frac{5}{25} = \frac{1}{5} \) &#10007;<br>
&bull; \( \frac{4}{12} = \frac{1}{3} \) &#10007;<br><br>
Final Answer: A: \( \frac{6}{24} \)