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 number of laps he swims by the length of one lap.
He swims 5 laps, and each lap is 11 1/3 yards long.
To multiply these two numbers, we convert the mixed number 11 1/3 into an improper fraction.
First, we multiply the whole number part (11) by the denominator (3) and then add the numerator (1) to get 11 x 3 + 1 = 33 + 1 = 34.
Then, we put the result (34) over the denominator (3) to get the improper fraction 34/3.
Now we multiply this fraction by 5: 5 x 34/3 = 170/3.
To convert this improper fraction into a mixed number, we divide the numerator (170) by the denominator (3).
170 ÷ 3 = 56 with a remainder of 2.
So the mixed number is 56 2/3.
Therefore, Sven swims a total length of 56 2/3 yards.