Kenny uses \( \frac{1}{16} \) of the chocolate syrup bottle for 1 scoop of ice cream. How many scoops of ice cream has Kenny eaten if he has used \( 2 \frac{3}{4} \) bottles of chocolate syrup?

To determine how many scoops of ice cream Kenny has eaten, follow these steps: 1. **Understand the Given Information:** - **Chocolate syrup used per scoop:** \( \frac{1}{16} \) of a bottle. - **Total chocolate syrup used:** \( 2 \frac{3}{4} \) bottles. 2. **Convert the Mixed Number to an Improper Fraction:** \[ 2 \frac{3}{4} = \frac{(2 \times 4) + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4} \] 3. **Calculate the Number of Scoops:** - Since each scoop uses \( \frac{1}{16} \) of a bottle, the number of scoops is the total syrup used divided by the syrup per scoop. \[ \text{Number of scoops} = \frac{\frac{11}{4} \text{ bottles}}{\frac{1}{16} \text{ bottle per scoop}} = \frac{11}{4} \times 16 = 11 \times 4 = 44 \] **Conclusion:** Kenny has eaten **44 scoops** of ice cream.