Solve the Fraction Equation: 2/3 × ? = 1/3

To solve this problem, we'll follow these steps:

• Step 1: Identify the equation $\frac{2}{3} \times x = \frac{1}{3}$.
• Step 2: To isolate $x$, we'll divide both sides by $\frac{2}{3}$.
• Step 3: Perform the division by $\frac{2}{3}$ by multiplying by its reciprocal.

Let's work through each step:

Step 1: We start with the equation $\frac{2}{3} \times x = \frac{1}{3}$.

Step 2: To solve for $x$, divide both sides by $\frac{2}{3}$:

$x = \frac{1}{3} \div \frac{2}{3}$

Step 3: Dividing by a fraction is equivalent to multiplying by the reciprocal:

$x = \frac{1}{3} \times \frac{3}{2}$

Calculate the multiplication:

$x = \frac{1 \times 3}{3 \times 2} = \frac{3}{6}$

$x = \frac{1}{2}$

Therefore, the solution to the problem is $\frac{1}{2}$, which corresponds to choice .