Solve the Fraction Problem: 11/12 - 1/3 - 1/6

To solve $\frac{11}{12} - \frac{1}{3} - \frac{1}{6}$, we will follow these steps:

• Step 1: Identify the Least Common Denominator (LCD)
• Step 2: Convert each fraction to an equivalent fraction with the LCD
• Step 3: Perform the subtraction

Now, let's work through these steps:

Step 1: Identify the Least Common Denominator (LCD)
The denominators are 12, 3, and 6. The least common denominator is 12.

Step 2: Convert each fraction
- The fraction $\frac{11}{12}$ already has a denominator of 12.
- Convert $\frac{1}{3}$ to a denominator of 12: $\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}$.
- Convert $\frac{1}{6}$ to a denominator of 12: $\frac{1}{6} = \frac{1 \times 2}{6 \times 2} = \frac{2}{12}$.

Step 3: Perform the subtraction
Now that the fractions have the same denominator, subtract the numerators:
$\frac{11}{12} - \frac{4}{12} - \frac{2}{12} = \frac{11 - 4 - 2}{12} = \frac{5}{12}$.

Therefore, the solution to the problem is $\frac{5}{12}$.