Sven swims 5 laps in a pool 11 1/3 yards long. what total length does he swim? Convert the answer to a mixed number
To find the total length that Sven swims, we need to multiply the length of the pool by the number of laps he swims.
Length of the pool = 11 1/3 yards
Number of laps = 5
Total length = 11 1/3 x 5
To multiply mixed numbers, we first convert them to improper fractions.
11 1/3 = (3 x 11 + 1)/3 = 34/3
Total length = 34/3 x 5
To multiply fractions, we multiply the numerators and the denominators separately.
Total length = (34 x 5)/(3 x 1)
Total length = 170/3
To convert the improper fraction to a mixed number, we divide the numerator by the denominator:
170 ÷ 3 = 56 remainder 2
The mixed number is the quotient followed by the remainder as a fraction:
Total length = 56 2/3 yards. Answer: \boxed{56\frac{2}{3}}.