Enter the correct numerator to match the new denominator. \( \frac{1}{7}=\frac{\square}{14} \) (Simplify your answer.)

To find the correct numerator that makes the fractions equivalent, you can set up the following proportion: \[ \frac{1}{7} = \frac{x}{14} \] **Step 1: Cross-Multiply** Multiply the numerator of the first fraction by the denominator of the second fraction and set it equal to the denominator of the first fraction multiplied by the numerator of the second fraction. \[ 1 \times 14 = 7 \times x \] \[ 14 = 7x \] **Step 2: Solve for \( x \)** Divide both sides of the equation by 7 to isolate \( x \). \[ x = \frac{14}{7} = 2 \] **Conclusion** The correct numerator to match the denominator of 14 is **2**. Therefore, \[ \frac{1}{7} = \frac{2}{14} \] This fraction is already simplified since \( \frac{2}{14} \) reduces back to \( \frac{1}{7} \). **Answer:** \(2\)