What is the value of a numerator when the fraction is equivalent to 1/2 and the denominator is 2?

To determine the value of the numerator when the fraction is equivalent to ( \frac{1}{2} ) and the denominator is 2, we start with the general form of the fraction, which is expressed as ( \frac{n}{d} ), where ( n ) is the numerator and ( d ) is the denominator. In this case, the denominator ( d ) is given as 2.

An equivalent fraction to ( \frac{1}{2} ) can be found by ensuring that the ratio between the numerator and the denominator remains the same. Therefore, we can set up the equation:

[ \frac{n}{2} = \frac{1}{2} ]

To find ( n ), we can multiply both sides of the equation by the denominator, which is 2:

[ n = 2 \times \frac{1}{2} ]

Calculating that gives:

[ n = 1 ]

Thus, the value of the numerator that corresponds with the fraction ( \frac{n}{2} ) being equal to ( \frac{1}{2} ) is 1. This confirms that the correct answer is 1,