Math Snap

STEP 1

1. Jackson's total money is represented as a whole, or $1$.
2. The fractions of money spent on each item are given as $\frac{2}{6}$, $\frac{5}{12}$, and $\frac{1}{6}$.
3. We need to find the total fraction of money spent.

STEP 2

1. Simplify the fractions.
2. Find a common denominator.
3. Add the fractions.

STEP 3

Simplify the fraction $\frac{2}{6}$.
$$\frac{2}{6} = \frac{1}{3}$$

STEP 4

Identify the least common denominator (LCD) for the fractions $\frac{1}{3}$, $\frac{5}{12}$, and $\frac{1}{6}$.
The denominators are $3$, $12$, and $6$. The LCD is $12$.

STEP 5

Convert each fraction to have the common denominator of $12$.
$$\frac{1}{3} = \frac{4}{12}$$ $$\frac{5}{12} = \frac{5}{12}$$ $$\frac{1}{6} = \frac{2}{12}$$

Add the fractions with the common denominator.
$$\frac{4}{12} + \frac{5}{12} + \frac{2}{12} = \frac{11}{12}$$ Jackson spent a total fraction of:
$$\boxed{\frac{11}{12}}$$