jmc

This problem is asking for $\frac{\frac{1}{7}}{\frac{1}{2}}$. (More advanced students can analyze this alternatively by rewriting this worded statement as an equation, we have $x\cdot \frac{1}{2}=\frac{1}{7}$, where $x$ is the fraction of $\frac{1}{2}$ that we are solving for. Dividing both sides by $\frac{1}{2}$, we have $x=\frac{\frac{1}{7}}{\frac{1}{2}}$). We can simplify this fraction as $\frac{1}{7}\cdot \frac{2}{1}$, since division is the same as multiplying by the reciprocal. Multiplying these two fractions then yields $\boxed{\frac{2}{7}}$.