Home > Math0055 Foundational Mathematics Spring \( 2025 \mathrm{M} / \mathrm{W} 10: 00-11: 50> \) Assessment Practice Exercises Section 10 Score: \( 6 / 12 \) Answered: \( 6 / 12 \) Question 10 Jesse has three one-gallon containers. The first one has \( \frac{7}{12} \) of a gallon of juice, the second has \( \frac{1}{12} \) gallon of juice and the third has \( \frac{1}{12} \) gallons of juice. How many total gallons of juice does Jesse have? Question Help: \( \quad \) Video Worked Example I Message instructor D Post to forum Submit Question

Sure, I'd be happy to help you solve this problem step by step! **Problem Recap:** Jesse has three one-gallon containers with the following amounts of juice: - **First container:** \( \frac{7}{12} \) gallon - **Second container:** \( \frac{1}{12} \) gallon - **Third container:** \( \frac{1}{12} \) gallon **Question:** How many total gallons of juice does Jesse have? **Solution:** To find the **total** amount of juice Jesse has, you need to **add** the amounts in all three containers. 1. **Identify the amounts to add:** \[ \frac{7}{12} \, \text{gallon} + \frac{1}{12} \, \text{gallon} + \frac{1}{12} \, \text{gallon} \] 2. **Add the fractions:** Since all fractions have the same denominator (12), you can add the numerators directly. \[ \frac{7}{12} + \frac{1}{12} + \frac{1}{12} = \frac{7 + 1 + 1}{12} = \frac{9}{12} \] 3. **Simplify the fraction (if possible):** \[ \frac{9}{12} = \frac{3 \times 3}{3 \times 4} = \frac{3}{4} \] So, \( \frac{9}{12} \) simplifies to \( \frac{3}{4} \). **Final Answer:** Jesse has a total of \( \frac{3}{4} \) gallon of juice. **Visual Summary:** | Container | Juice Volume | |-----------|--------------| | 1 | \( \frac{7}{12} \) gallon | | 2 | \( \frac{1}{12} \) gallon | | 3 | \( \frac{1}{12} \) gallon | | **Total** | \( \frac{3}{4} \) gallon | **Conclusion:** By adding the fractions, you determine that Jesse has three-quarters of a gallon of juice in total.