Fifeen pounds of beans are distributed equally into 12 How many pounds of beans are in each bag? Enter your answer in the simplest form. There are

To find out how many pounds of beans are in each bag when 15 pounds of beans are distributed equally into 12 bags, we can set up the problem as follows: 1. **Known Conditions:** - Total weight of beans: \( 15 \) pounds - Number of bags: \( 12 \) 2. **Calculation:** We need to divide the total weight of beans by the number of bags to find the weight of beans in each bag. \[ \text{Weight per bag} = \frac{\text{Total weight}}{\text{Number of bags}} = \frac{15}{12} \] 3. **Simplifying the Fraction:** We can simplify \( \frac{15}{12} \) by finding the greatest common divisor (GCD) of 15 and 12, which is 3. \[ \frac{15 \div 3}{12 \div 3} = \frac{5}{4} \] Thus, the weight of beans in each bag is \( \frac{5}{4} \) pounds. Therefore, the final answer is: \[ \frac{5}{4} \text{ pounds} \]