(4) Result = 131 yards 2 feet 6 inches.
Division of Denominate Quantities
Problem: Divide 3 years 9 months 4 days by 12.
Work
| Years | Months | Days | Hours | ||
|---|---|---|---|---|---|
| 12 | ) | 3 | 9 | 4 | 0 |
| 0 | 3 | 22 | 20 | ||
Explanation: (1) We cannot divide 3 by 12, so we reduce 3 years to months. 3 years = 36 months. 36 months + 9 months = 45 months. 45 ÷ 12 = 3, and a remainder 9. Write the 3 and carry the remainder 9.
(2) 9 months (carried) = 270 days. 270 days + 4 days = 274 days. 274 ÷ 12 = 22, and a remainder 10. Write the 22 and carry the 10.
(3) 10 days = 240 hours. 240 ÷ 12 = 20. Write the 20.
(4) Result = 3 months 22 days 20 hours.