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 add the two lengths of hose, we need to convert the mixed numbers to improper fractions.

The first length is 3 1/3 yards, which can be written as 3 + 1/3 = 3 + 1/3 = (3*3 + 1)/3 = 10/3 yards.
The second length is 4 2/3 yards, which can be written as 4 + 2/3 = 4 + 2/3 = (4*3 + 2)/3 = 14/3 yards.

To find the total length of the garden hose, we add the two lengths: 10/3 + 14/3 = (10 + 14)/3 = 24/3 = 8 yards.

Therefore, the total length of the garden hose is 8 yards.