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To find the total length Sven swims, you need to multiply the length of each lap by the number of laps he swam.
Length of each lap: 11 1/3 yards
Number of laps: 5
Total length = Length of each lap x Number of laps
Total length = (11 1/3) x 5
To multiply a whole number and a mixed number, first convert the mixed number to an improper fraction.
11 1/3 = (3 x 11 + 1)/3 = 34/3
Total length = (34/3) x 5
Total length = 170/3
The total length Sven swims is 170/3 yards. To represent this as a mixed number, divide the numerator (170) by the denominator (3).
170 รท 3 = 56 remainder 2
So the mixed number representation of the total length is 56 2/3 yards.
Therefore, the correct answer is 56 2/3.