Solve the Fraction Division: Finding the Missing Number in 1/2 ÷ ? = 2/3

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

• Step 1: Transform the division into multiplication by the reciprocal.

• Step 2: Solve for the unknown factor.

• Step 3: Verify the result.

Now, let's work through each step:
Step 1: Recognize that if $\frac{1}{2} : x = \frac{2}{3}$, then it implies $\frac{1}{2} \times \frac{1}{x} = \frac{2}{3}$.

Step 2: Write the equation for the missing number $x$:
$\frac{1}{2} \times \frac{1}{x} = \frac{2}{3}$

Step 3: Simplify by isolating $\frac{1}{x}$:
$\frac{1}{x} = \frac{2}{3} \div \frac{1}{2} = \frac{2}{3} \times \frac{2}{1} = \frac{4}{3}$

Therefore, solve for $x$:
$x = \frac{4}{3}$, which can also be written as $1\frac{1}{3}$.

Therefore, the solution to the problem is $1\frac{1}{3}$.