Quentin joins together two lengths of garden hose. One length is 3 1/3 yard, and the other length is 4 2/3 yards. How many yards is the total length of the hose? (1 point)
To add the two lengths of hose, we can first convert both lengths to improper fractions:
3 1/3 yards = 10/3 yards
4 2/3 yards = 14/3 yards
Next, we will add the two improper fractions:
10/3 + 14/3 = 24/3
Finally, we can simplify the fraction:
24/3 = 8
Thus, the total length of the hose is 8 yards.
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To find the total length of the hose, you need to add the lengths of the two pieces of the garden hose together.
Given:
Length of the first hose = 3 1/3 yards
Length of the second hose = 4 2/3 yards
Step 1: Convert the mixed fractions to improper fractions.
To convert the first length, 3 1/3 yards, into an improper fraction, multiply the whole number by the denominator and add the numerator. So, 3 x 3 + 1 = 10/3 yards.
To convert the second length, 4 2/3 yards, into an improper fraction, apply the same process: 4 x 3 + 2 = 14/3 yards.
Step 2: Add the two fractions together.
Now, add the two lengths: 10/3 yards + 14/3 yards = (10 + 14)/3 yards = 24/3 yards.
Step 3: Simplify the fraction, if possible.
The fraction 24/3 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3. Performing this simplification, we get: 24/3 รท 3/3 = 8/1.
Therefore, the total length of the hose is 8 yards.