Solve Fraction Addition: 4/12 + 5/6 Step-by-Step Solution

To solve this problem, we will add the fractions $\frac{4}{12}$ and $\frac{5}{6}$. Follow these steps:

• Step 1: Find the least common denominator (LCD) of the fractions. The denominators are 12 and 6. The LCD is 12 because it is the smallest number into which both 12 and 6 divide evenly.
• Step 2: Convert the fractions to have the common denominator 12. The fraction $\frac{4}{12}$ is already expressed with this denominator.
• Step 3: Convert $\frac{5}{6}$ to an equivalent fraction with a denominator of 12. To do this, determine what number times 6 gives 12, which is 2. Multiply both the numerator and the denominator of $\frac{5}{6}$ by 2:
$\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}$
• Step 4: Add the fractions now that they have the same denominator:
$\frac{4}{12} + \frac{10}{12} = \frac{4 + 10}{12} = \frac{14}{12}$
• Step 5: Simplify the resulting fraction, $\frac{14}{12}$. Both the numerator and the denominator are divisible by 2, so:
$\frac{14}{12} = \frac{14 \div 2}{12 \div 2} = \frac{7}{6}$

Thus, the sum of the fractions $\frac{4}{12}$ and $\frac{5}{6}$ is $\frac{7}{6}$.

Therefore, the correct answer is $\frac{7}{6}$.