Solve the Fraction Subtraction: 2/3 - 1/6 Step by Step

To solve the problem $\frac{2}{3} - \frac{1}{6}$, we follow these steps:

• Step 1: Identify a common denominator for both fractions. Since 6 is a multiple of 3, we use 6 as the common denominator.
• Step 2: Convert $\frac{2}{3}$ to a fraction with a denominator of 6. To do this, multiply both the numerator and the denominator by 2, giving $\frac{4}{6}$.
• Step 3: The fraction $\frac{1}{6}$ already has the desired denominator, so it remains $\frac{1}{6}$.
• Step 4: Perform the subtraction: $\frac{4}{6} - \frac{1}{6} = \frac{3}{6}$.
• Step 5: Simplify the resulting fraction. Simplify $\frac{3}{6}$ by dividing both numerator and denominator by their greatest common divisor, which is 3, resulting in $\frac{1}{2}$.

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