A jar contains $29\frac{5}{7}$ tablespoons of peanut butter. If one serving of peanut butter is 2 tablespoons, how many servings of peanut butter does the jar contain? Express your answer as a mixed number.
To find the number of servings of peanut butter, I need to divide the total amount of peanut butter by the amount per serving. So I need to divide $29\frac{5}{7}$ by 2. To do this, I can convert the mixed number $29\frac{5}{7}$ to an improper fraction, by multiplying the whole number part by the denominator and adding the numerator. That gives me $\frac{29 \times 7 + 5}{7} = \frac{208}{7}$. Then I can divide $\frac{208}{7}$ by 2, which is the same as multiplying by $\frac{1}{2}$. So I get $\frac{208}{7} \times \frac{1}{2} = \frac{208}{14}$. To convert this back to a mixed number, I need to divide the numerator by the denominator and write the remainder as a fraction. So I get $\frac{208}{14} = 14\frac{12}{14}$. I can simplify the fraction by dividing the numerator and denominator by 2. That gives me $14\frac{6}{7}$. So the jar contains $14\frac{6}{7}$ servings of peanut butter. 