Adding Fractions: Calculate 1/2 + 1/3 + 1/4 in a Snack Scenario

To solve this problem, we need to add the fractions of the packet that Dana eats over the three days.

Let's outline our steps:

• Step 1: Find the common denominator for the fractions $\frac{1}{2}$, $\frac{1}{3}$, and $\frac{1}{4}$.
• Step 2: Convert each fraction to an equivalent fraction with the common denominator.
• Step 3: Add the fractions together.

Step 1: Determine the least common denominator (LCD).
The denominators are 2, 3, and 4. The least common multiple (LCM) of these numbers is 12. Hence, the common denominator is 12.

Step 2: Convert each fraction:
- $\frac{1}{2} = \frac{1 \times 6}{2 \times 6} = \frac{6}{12}$
- $\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}$
- $\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}$

Step 3: Add the fractions:
$\frac{6}{12} + \frac{4}{12} + \frac{3}{12} = \frac{6+4+3}{12} = \frac{13}{12}$

The amount Dana eats over the three days is $\frac{13}{12}$ of the packet.

This means that Dana ate more than a whole packet (since $\frac{13}{12}$ is more than 1).

Therefore, the solution to the problem is $\frac{13}{12}$.