5. A bottle of juice is divided between 3 friends, Jason gets \( \frac{1}{3} \) of the juice, Joseph gets \( \frac{1}{4} \) of the bottle and Siswe gets \( \frac{5}{12} \). By comparing the fractions, calculate who will get the most juice.

To determine who receives the most juice among Jason, Joseph, and Siswe, we'll compare the fractions of the juice each person gets: - **Jason:** \( \frac{1}{3} \) - **Joseph:** \( \frac{1}{4} \) - **Siswe:** \( \frac{5}{12} \) **Step 1: Find a Common Denominator** To compare these fractions easily, convert them to have a common denominator. The least common denominator (LCD) for 3, 4, and 12 is **12**. - **Jason:** \[ \frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12} \] - **Joseph:** \[ \frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12} \] - **Siswe:** \[ \frac{5}{12} \text{ (already with denominator 12)} \] **Step 2: Compare the Fractions** Now, compare the numerators since all fractions have the same denominator: - **Jason:** \( \frac{4}{12} \) - **Joseph:** \( \frac{3}{12} \) - **Siswe:** \( \frac{5}{12} \) **Conclusion:** - **Siswe** has the largest fraction (\( \frac{5}{12} \)) compared to Jason's \( \frac{4}{12} \) and Joseph's \( \frac{3}{12} \). **Therefore, Siswe will get the most juice.**