sven swims 5 laps in a pool 11 1/3 yards long what total length does he swim convert the answer to be a mixed number.
To find the total length that Sven swims, we need to multiply the number of laps by the length of each lap.
The length of each lap is 11 1/3 yards.
To multiply mixed numbers, we first convert them to improper fractions.
11 1/3 can be written as the improper fraction (3 * 11 + 1)/3 = 34/3.
Therefore, the total length Sven swims is 5 laps * 34/3 yards = 170/3 yards.
Now, let's convert the answer back to a mixed number.
170/3 can be divided as 170 ÷ 3 = 56 with a remainder of 2.
Hence, the answer is 56 and 2/3 yards.
Thanks now try this one 1/10 of the current U.S. population has diabetes 2/5 of the people with diabetes have not been diagnosed with the disease what fraction of the U.S. population has undiagnosed diabetes write the answer in simplest form.
To find the fraction of the U.S. population that has undiagnosed diabetes, we need to multiply the fraction of the U.S. population with diabetes by the fraction of people with diabetes who have not been diagnosed.
The fraction of the U.S. population with diabetes is 1/10.
The fraction of people with diabetes who have not been diagnosed is 2/5.
To multiply fractions, we simply multiply the numerators together and the denominators together.
So, (1/10) * (2/5) = (1*2) / (10*5) = 2/50.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
2/50 = (2/2) / (50/2) = 1/25.
Therefore, the fraction of the U.S. population with undiagnosed diabetes is 1/25.
thanks now try this one Ricardo picked 3 1/2 pints of strawberries and used 4/5 of them to make jam how many pints of strawberries did he use to make jam write the answer as a mixed number in simplest form.
To find how many pints of strawberries Ricardo used to make jam, we need to multiply the amount of strawberries he picked by the fraction of strawberries used to make jam.
Ricardo picked 3 1/2 pints of strawberries.
The fraction of strawberries he used to make jam is 4/5.
To multiply a mixed number by a fraction, we first convert the mixed number to an improper fraction.
3 1/2 can be written as the improper fraction (2 * 3 + 1)/2 = 7/2.
Now, to multiply fractions, we multiply the numerators together and the denominators together.
So, (7/2) * (4/5) = (7*4) / (2*5) = 28/10.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
28/10 = (28/2) / (10/2) = 14/5.
Therefore, Ricardo used 14/5 pints of strawberries to make jam.
To convert this improper fraction to a mixed number, we divide the numerator by the denominator.
14 ÷ 5 = 2 with a remainder of 4.
Hence, the answer is 2 and 4/5 pints of strawberries used to make jam.
thank you so much now try this Sarah is making a healthy smoothie for breakfast her recipe includes 2 1/4 cups of yogurt Sarah wants to make 3 servings how much yogurt does she need in total covert the answer to a mixed number in simplest form.
To find the total amount of yogurt Sarah needs for 3 servings, we need to multiply the amount of yogurt per serving by the number of servings.
The amount of yogurt per serving is 2 1/4 cups.
To multiply a mixed number by a whole number, we first convert the mixed number to an improper fraction.
2 1/4 can be written as the improper fraction (4 * 2 + 1)/4 = 9/4.
Now, to multiply a fraction by a whole number, we simply multiply the numerator by the whole number.
So, (9/4) * 3 = (9 * 3) / 4 = 27/4.
To convert this improper fraction to a mixed number, we divide the numerator by the denominator.
27 ÷ 4 = 6 with a remainder of 3.
Hence, the answer is 6 and 3/4 cups of yogurt needed in total.