1. **Problem:** Determine who has finished 4/5 of their project. 2. **Step 1: Calculate total fraction finished by each person by adding their parts.** - Jake: $$\frac{7}{15} + \frac{1}{6}$$ - Tom: $$\frac{3}{6} + \frac{3}{10}$$ - Felipe: $$\frac{4}{7} + \frac{1}{4}$$ - Bill: $$\frac{6}{9} + \frac{1}{8}$$ 3. **Step 2: Find common denominators and add fractions.** - Jake: Common denominator is 30. $$\frac{7}{15} = \frac{14}{30}, \quad \frac{1}{6} = \frac{5}{30}$$ $$\frac{14}{30} + \frac{5}{30} = \frac{19}{30}$$ - Tom: Common denominator is 30. $$\frac{3}{6} = \frac{15}{30}, \quad \frac{3}{10} = \frac{9}{30}$$ $$\frac{15}{30} + \frac{9}{30} = \frac{24}{30}$$ - Felipe: Common denominator is 28. $$\frac{4}{7} = \frac{16}{28}, \quad \frac{1}{4} = \frac{7}{28}$$ $$\frac{16}{28} + \frac{7}{28} = \frac{23}{28}$$ - Bill: Common denominator is 72. $$\frac{6}{9} = \frac{48}{72}, \quad \frac{1}{8} = \frac{9}{72}$$ $$\frac{48}{72} + \frac{9}{72} = \frac{57}{72}$$ 4. **Step 3: Convert 4/5 to a fraction with denominators to compare or decimal.** - $$\frac{4}{5} = 0.8$$ 5. **Step 4: Convert each total to decimal to compare easily.** - Jake: $$\frac{19}{30} \approx 0.6333$$ - Tom: $$\frac{24}{30} = 0.8$$ - Felipe: $$\frac{23}{28} \approx 0.8214$$ - Bill: $$\frac{57}{72} \approx 0.7917$$ 6. **Step 5: Compare decimals to 0.8.** - Jake: 0.6333 < 0.8 - Tom: 0.8 = 0.8 - Felipe: 0.8214 > 0.8 - Bill: 0.7917 < 0.8 7. **Step 6: Conclusion:** Felipe finished more than 4/5, Tom finished exactly 4/5, so Felipe has finished more than 4/5 of his project. **Final answer:** Felipe has finished 4/5 of his project.