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?(1 point)

Question

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Answer 1

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

The first length is 3 1/3 yards. We can change the mixed number to an improper fraction by multiplying the whole number (3) by the denominator (3) and adding the numerator (1). This gives us a new numerator of 10 and a denominator of 3. So, the first length is 10/3 yards.

The second length is 4 2/3 yards. Again, we change the mixed number to an improper fraction by multiplying the whole number (4) by the denominator (3) and adding the numerator (2). This gives us a new numerator of 14 and a denominator of 3. So, the second length is 14/3 yards.

To add the two fractions, we need to have a common denominator. In this case, the denominators are already the same. So, we can just add the numerators.

10/3 + 14/3 = 24/3

We can simplify this fraction by dividing the numerator and denominator by their greatest common factor, which is 3.

24/3 ÷ 3/3 = 8/1

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