Solve the Fraction Expression: 3/6 - 2/4 + 1/12

To solve this problem, we'll follow these steps:

• Simplify each fraction.

• Identify the least common denominator (LCD).

• Convert each fraction to have this common denominator.

• Perform the addition and subtraction.

• Simplify the final result.

Let's work through each step:
Step 1: Simplify each fraction.
- $\frac{3}{6}$ simplifies to $\frac{1}{2}$ because both the numerator and denominator are divisible by 3.
- $\frac{2}{4}$ simplifies to $\frac{1}{2}$ because both the numerator and denominator are divisible by 2.
- $\frac{1}{12}$ is already in its simplest form.

Step 2: Identify the least common denominator (LCD).
- The denominators now are 2, 2, and 12. The LCD of 2 and 12 is 12.

Step 3: Convert each fraction to have this common denominator.
- $\frac{1}{2} = \frac{6}{12}$ (since $1 \times 6 = 6$ and $2 \times 6 = 12$)
- $\frac{1}{2} = \frac{6}{12}$ (similarly converted)
- $\frac{1}{12} = \frac{1}{12}$ (already has the denominator 12)

Step 4: Perform the addition and subtraction:
$\frac{6}{12} - \frac{6}{12} + \frac{1}{12} = \frac{6 - 6 + 1}{12} = \frac{1}{12}$

Step 5: Simplify the final result:
The result $\frac{1}{12}$ is already in its simplest form.

Therefore, the solution to the problem is $\frac{1}{12}$.