Solve the Fraction Equation: 2/3 × Unknown = 1/6

To solve the equation $\frac{2}{3} \times x = \frac{1}{6}$, we need to find the value of $x$ by isolating it.

• Step 1: Set the equation to solve for $x$:
  $\frac{2}{3} \times x = \frac{1}{6}$.
• Step 2: Isolate $x$ by dividing both sides by $\frac{2}{3}$:
  $x = \frac{1}{6} \div \frac{2}{3}$.
• Step 3: Performing the division by multiplying with the reciprocal:
  $x = \frac{1}{6} \times \frac{3}{2}$.
• Step 4: Simplify the expression:
  $\frac{1 \times 3}{6 \times 2} = \frac{3}{12} = \frac{1}{4}$.

Thus, the number that satisfies the equation is $\frac{1}{4}$.