Solve the Fraction Addition: 1/4 + 2/6 Step-by-Step

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

• Step 1: Determine the least common denominator of 4 and 6.
• Step 2: Convert each fraction to this common denominator.
• Step 3: Add the numerators and form the resultant fraction.
• Step 4: Simplify the resulting fraction if necessary.

Now, let's work through each step:
Step 1: The denominators are 4 and 6. The least common multiple of 4 and 6 is 12.

Step 2: Convert each fraction to have the denominator 12.
For $\frac{1}{4}$, multiplying the numerator and denominator by 3 gives $\frac{1 \times 3}{4 \times 3} = \frac{3}{12}$.
For $\frac{2}{6}$, multiplying the numerator and denominator by 2 gives $\frac{2 \times 2}{6 \times 2} = \frac{4}{12}$.

Step 3: Add the fractions: $\frac{3}{12} + \frac{4}{12} = \frac{3 + 4}{12} = \frac{7}{12}$.

Step 4: Check if $\frac{7}{12}$ can be simplified. Since 7 and 12 have no common factors other than 1, it is already in its simplest form.

Therefore, the sum of $\frac{1}{4} + \frac{2}{6}$ is $\frac{7}{12}$.