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 57 yards 57 yards 56 2/3 yards 56 Start Fraction 2 over 3 End Fraction yards 170/3 yards Start Fraction 170 over 3 End Fraction yards 16 1/3 yards
The total length Sven swims can be found by multiplying the number of laps he swims by the length of each lap.
5 laps x 11 1/3 yards/lap = 56 2/3 yards
Therefore, the total length Sven swims is 56 2/3 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, and each lap is 11 1/3 yards long.
To multiply a whole number by a mixed number, we multiply the whole number by the whole number part of the mixed number, then multiply the whole number by the numerator of the fraction part of the mixed number, and divide the result by the denominator of the fraction part of the mixed number.
So, the total length Sven swims is:
5 x 11 = 55 yards (whole number part of the mixed number)
5 x 1 = 5 yards (numerator of the fraction part of the mixed number)
Now, let's add the whole number part and the numerator:
55 + 5 = 60 yards
Since the denominator remains the same, the answer is:
60 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.
First, we need to convert the mixed number 11 1/3 yards into an improper fraction.
To do that, we multiply the whole number (11) by the denominator of the fraction (3), and then add the numerator (1).
11 x 3 = 33
33 + 1 = 34
So, 11 1/3 yards is equal to 34/3 yards.
Next, we multiply the length of each lap (34/3 yards) by the number of laps (5).
5 x 34/3 = 170/3 yards.
Now, we need to convert the improper fraction 170/3 into a mixed number.
To do that, divide the numerator (170) by the denominator (3).
170 ÷ 3 = 56 remainder 2
So, the mixed number form of 170/3 yards is 56 2/3 yards.
Therefore, the total length that Sven swims is 56 2/3 yards.