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

To solve the problem, follow these steps:

• Step 1: Convert each fraction to have a common denominator.
• Step 2: Add and subtract the fractions.
• Step 3: Simplify the result.

Let's work through these steps:

Step 1: Find the Least Common Denominator (LCD) of the fractions involved. The denominators are 6, 4, and 12. The LCM of these numbers is 12, so the LCD is 12.

Convert each fraction to this common denominator:

• $\frac{3}{6}$ becomes $\frac{3 \times 2}{6 \times 2} = \frac{6}{12}$
• $\frac{2}{4}$ becomes $\frac{2 \times 3}{4 \times 3} = \frac{6}{12}$
• $\frac{1}{12} \text{ remains } \frac{1}{12}$

Step 2: Perform the operations using these equivalent fractions: $\frac{6}{12} + \frac{6}{12} - \frac{1}{12} = \frac{6 + 6 - 1}{12} = \frac{11}{12}$

Step 3: Check if the result can be simplified further. In this case, $\frac{11}{12}$ is already in simplest form.

Therefore, the solution to the problem is $\frac{11}{12}$.