1. Start at the box labeled "Start" containing the complex fraction 4 / (1/5).
2. Simplify 4 / (1/5) to get 20. Follow the path labeled "20".
3. This leads to the box with the complex fraction (7/9) / (7/7). Simplify this to (7/9) / 1 = 7/9. Follow the path labeled "7/9".
4. This leads to the box with the complex fraction (7/10) / 3. Simplify this to 7/30. Follow the path labeled "7/30".
5. This leads to the box with the complex fraction (9/10) / 6. Simplify this to 9/60 = 3/20. Follow the path labeled "3/20".
6. This leads to the box with the complex fraction (3/4) / (6/7). Simplify this to (3/4) * (7/6) = 21/24 = 7/8. Follow the path labeled "7/8".
7. This leads to the box with the complex fraction (2/5) / 6. Simplify this to 2/30 = 1/15. Follow the path labeled "1/15".
8. This leads to the box with the complex fraction (2/5) / (4/9). Simplify this to (2/5) * (9/4) = 18/20 = 9/10. Follow the path labeled "9/10".
9. This leads to the box with the complex fraction (30/5) / 7. Simplify this to 6 / 7. Follow the path labeled "6/7".
10. This leads to the box with the complex fraction (4/5) / (8/8). Simplify this to (4/5) / 1 = 4/5. Follow the path labeled "4/5".
11. This leads to the box with the complex fraction (10/5) / (12/12). Simplify this to 2 / 1 = 2. Follow the path labeled "2".
12. This leads to the box with the complex fraction (1/4) / (3/8). Simplify this to (1/4) * (8/3) = 8/12 = 2/3. Follow the path labeled "2/3".
13. This leads to the box with the complex fraction (8/9) / 3. Simplify this to 8/27. Follow the path labeled "8/27".
14. This leads to the box with the complex fraction (3/7) / 5. Simplify this to 3/35. Follow the path labeled "3/35".
15. This leads to the box with the complex fraction (3/7) / 5. Wait, this is a repeat. Let's retrace.
Correction: From step 12, after simplifying (1/4)/(3/8) to 2/3, we follow the path labeled "2/3" to the box with the complex fraction (8/9)/3. Simplify (8/9)/3 to 8/27. The path from here is labeled "8/27", which leads to the END box. The END box has the label "END!" and a star.
The correct path is: Start -> 20 -> 7/9 -> 7/30 -> 3/20 -> 7/8 -> 1/15 -> 9/10 -> 6/7 -> 4/5 -> 2 -> 2/3 -> 8/27 -> END!
Parent Tip: Review the logic above to help your child master the concept of unit rates with complex fractions worksheet.