Solve the Fraction Addition: 3/4 + 1/6 Step-by-Step

To solve the addition of these two fractions, we'll proceed as follows:

• Step 1: Determine the least common denominator (LCD) of the fractions.
  The denominators are 4 and 6, and the smallest number that is a multiple of both is 12. Thus, the LCD is 12.
• Step 2: Convert each fraction to an equivalent fraction with the denominator 12.
  - For $\frac{3}{4}$, multiply both numerator and denominator by 3: $\frac{3 \times 3}{4 \times 3} = \frac{9}{12}$.
  - For $\frac{1}{6}$, multiply both numerator and denominator by 2: $\frac{1 \times 2}{6 \times 2} = \frac{2}{12}$.
• Step 3: Add the converted fractions.
  $\frac{9}{12} + \frac{2}{12} = \frac{9 + 2}{12} = \frac{11}{12}$.

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