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

To solve the problem of adding $\frac{1}{4} + \frac{4}{6}$, follow these steps:

• Step 1: Find the Least Common Denominator (LCD):
  The denominators are 4 and 6. The least common multiple of 4 and 6 is 12.
• Step 2: Convert Each Fraction:
  - Convert $\frac{1}{4}$ to a fraction with a denominator of 12:
  $\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}$
  - Convert $\frac{4}{6}$ to a fraction with a denominator of 12:
  $\frac{4}{6} = \frac{4 \times 2}{6 \times 2} = \frac{8}{12}$
• Step 3: Add the Fractions:
  Now, add the fractions: $\frac{3}{12} + \frac{8}{12} = \frac{3 + 8}{12} = \frac{11}{12}$
• Step 4: Simplify the Fraction (if needed):
  The fraction $\frac{11}{12}$ is already in its simplest form.

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