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 Sven swims, we multiply the number of laps by the length of one lap.
5 laps x 11 1/3 yards/lap
To convert the mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator. Then we write that sum over the original denominator.
11 x 3 + 1 = 34
34/3
Now we can multiply:
5 x 34/3 = 170/3
To convert the improper fraction back to a mixed number, we divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the numerator of the fraction.
170 ÷ 3 = 56 with a remainder of 2
Therefore, Sven swims a total length of 56 2/3 yards.