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
To find out 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 and each lap is 11 1/3 yards long.
To multiply a whole number by a mixed number, we can first convert the mixed number to an improper fraction.
11 1/3 can be written as 11 + 1/3, which is equal to (11 * 3 + 1) / 3 = 34/3.
Now we can multiply:
5 * (34/3) = (5*34) / 3 = 170/3.
To convert the answer to a mixed number, we divide the numerator (170) by the denominator (3) and write the remainder as the fractional part.
The division gives us 170 ÷ 3 = 56 with a remainder of 2.
So the total length Sven swims is 56 2/3 yards.
To find the total length that Sven swims, you need to multiply the number of laps he swims by the length of each lap.
In this case, Sven swims 5 laps and each lap is 11 1/3 yards long.
To multiply a whole number by a mixed number, you can convert the mixed number into an improper fraction, and then multiply the two numbers.
First, we need to convert the mixed number 11 1/3 into an improper fraction.
The whole number 11 can be written as 11/1, and the mixed fraction 1/3 can be written as 1/3.
To convert the mixed number to an improper fraction, multiply the whole number by the denominator (1) and add the numerator (in this case, 1) to get the numerator of the improper fraction. Then use the same denominator as the mixed number. So, 11/1 + 1/3 = (11*1 + 1)/1 = 12/3.
Now that we have converted 11 1/3 to the improper fraction 12/3, we can multiply it by the number of laps (5) to find the total length Sven swims.
Multiply the numerators (12) and the denominators (3), which gives us 12/3 * 5/1 = 60/3 = 20.
Therefore, Sven swims a total length of 20 yards.
To convert this answer to a mixed number, divide the numerator (20) by the denominator (3). The quotient is the whole number and the remainder is the numerator of the proper fraction.
Dividing 20 by 3 gives us 6 with a remainder of 2. So the mixed number form of the answer is 6 2/3.
Therefore, Sven swims a total length of 6 2/3 yards.
To find the total length that Sven swims, we need to multiply the number of laps he swims (5) by the length of each lap (11 1/3 yards).
5 laps * 11 1/3 yards = 55 5/6 yards
Therefore, Sven swims a total length of 55 5/6 yards.