Calculate the Sum: Adding 1/6 and 1/3 in a Doughnut Sharing Problem

To determine how much of the doughnuts they eat in total, let's find the sum of the fractions that represent their consumption.

First, consider Jessy's consumption of the strawberry doughnut: $\frac{1}{6}$.

Next, consider James's consumption of the chocolate doughnut: $\frac{1}{3}$.

To add these fractions, we need a common denominator. The denominators are 6 and 3. The least common multiple of these is 6.

Convert $\frac{1}{3}$ to an equivalent fraction with a denominator of 6:

$\frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}$

Now we have the fractions $\frac{1}{6}$ and $\frac{2}{6}$.

We can add them since they have the same denominator:

$\frac{1}{6} + \frac{2}{6} = \frac{1 + 2}{6} = \frac{3}{6}$

Therefore, in total, Jessy and James eat:

$\frac{3}{6}$ of the doughnuts.

The correct answer choice is the one that corresponds to $\frac{3}{6}$, which is Choice 2.

Thus, the solution to this problem is that they eat $\frac{3}{6}$ of the doughnuts in total.