To subtract the fractions \( \frac{2}{3} \) and \( \frac{1}{6} \), we first need to find a common denominator. The least common multiple of the denominators (3 and 6) is 6.
Next, we convert \( \frac{2}{3} \) to a fraction with a denominator of 6: \[ \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} \]
Now we can subtract: \[ \frac{4}{6} - \frac{1}{6} = \frac{4 - 1}{6} = \frac{3}{6} \]
Next, we simplify \( \frac{3}{6} \): \[ \frac{3}{6} = \frac{3 \div 3}{6 \div 3} = \frac{1}{2} \]
Thus, the answer in simplest form is \( \frac{1}{2} \).
In the requested format: \[ \frac{1}{2} = [1]/[2] \]