Let's solve the equation:

\[
\frac{2}{3} - x = \frac{1}{6}
\]

To find \( x \), we need to isolate it on one side of the equation. We can do this by subtracting \(\frac{1}{6}\) from both sides:

\[
\frac{2}{3} - \frac{1}{6} = x
\]

To subtract the fractions, we need a common denominator. The common denominator between 3 and 6 is 6.

\[
\frac{2}{3} = \frac{4}{6}
\]

Now, subtract:

\[
\frac{4}{6} - \frac{1}{6} = \frac{3}{6} = \frac{1}{2}
\]

So, \( x = \frac{1}{2} \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find a common denominator when subtracting fractions?
2. What is the difference between subtracting fractions with like denominators and unlike denominators?
3. How do you convert an improper fraction to a mixed number?
4. Can you solve \(\frac{3}{4} - x = \frac{1}{8}\) for \( x \)?
5. What is the process for solving an equation that involves fractions on both sides?

**Tip:** Always simplify fractions when possible to make calculations easier.

Learn how to solve the equation 2/3 - x = 1/6 step-by-step. This problem involves fractions and equations, with detailed explanations on finding a common denominator and simplifying fractions. Suitable for students in Grades 6-8.

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