Quentin joins together two lengths of garden hose. One length is 3 1/3 yards, and the other length is 4 2/3 yards. How many yards is the total length of the garden hose

Answer 1

To find the total length of the garden hose, we need to add the lengths of the two hoses together.

Converting 3 1/3 yards to an improper fraction: 3 * 3 + 1 = 9 + 1 = 10. So, the first hose is 10/3 yards long.

Converting 4 2/3 yards to an improper fraction: 4 * 3 + 2 = 12 + 2 = 14. So, the second hose is 14/3 yards long.

Adding the two lengths together: 10/3 + 14/3 = (10 + 14)/3 = 24/3 = 8.

The total length of the garden hose is 8 yards. Answer: \boxed{8}.