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.(1 point)
Responses
56 2/3 yards
16 1/3 yards
57 yards
170/3 yards
To find the total length that Sven swims, we need to multiply the number of laps by the length of each lap.
Sven swims 5 laps.
The length of each lap is 11 1/3 yards.
To multiply a whole number and a mixed number, we first need to convert the mixed number to an improper fraction.
11 1/3 = (11 * 3 + 1) / 3 = 34/3
Now, we can multiply the number of laps by the length of each lap:
5 * 34/3 = (5 * 34) / 3 = 170/3 yards
The total length that Sven swims is 170/3 yards. So, the correct answer, converted to a mixed number, is 56 2/3 yards.
Therefore, the correct answer is: 56 2/3 yards.
To find the total length that Sven swims, we need to multiply the number of laps he swims by the length of each lap.
Sven swims 5 laps in a pool that is 11 1/3 yards long.
First, let's convert the mixed number 11 1/3 to an improper fraction:
11 1/3 = (11 * 3 + 1) / 3 = 34/3
Now, we can multiply the number of laps by the length of each lap:
5 laps * 34/3 yards per lap = 170/3 yards
The total length that Sven swims is 170/3 yards.
To convert the answer to a mixed number, we divide the numerator (170) by the denominator (3) and express the remainder as a fraction:
170 ÷ 3 = 56 with a remainder of 2, so the mixed number representation is:
56 2/3 yards.
Therefore, the correct answer is 56 2/3 yards.
To find the total length Sven swims, we need to multiply the number of laps he swims by the length of the pool.
Since Sven swims 5 laps in a pool that is 11 1/3 yards long, we can calculate the total length by multiplying the two values:
Total length = Number of laps × Length of the pool
Total length = 5 × 11 1/3 yards
To multiply a whole number by a mixed number, we need to convert the mixed number to an improper fraction.
11 1/3 can be written as 34/3 (by multiplying the whole number part, 11, by the denominator, 3, and adding the numerator, 1).
Total length = 5 × 34/3 yards
To multiply a whole number by a fraction, we can simply multiply the whole number by the numerator and leave the denominator the same.
Total length = (5 × 34) / 3 yards
Total length = 170/3 yards
Now, let's convert the improper fraction 170/3 to a mixed number.
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.