In a survey of teenagers, ⅔ responded that they got regular exercise, and ⅘ of those said that walking was their main form of exercise. What fraction of the teenagers mainly exercise by walking? (1 point)
Responses
1 7/15
8/15
6/8
3/4
To find the fraction of teenagers who mainly exercise by walking, we need to find the fraction of teenagers who said they got regular exercise and then find the fraction of those who said that walking was their main form of exercise.
⅔ of the teenagers responded that they got regular exercise.
Out of those who said they got regular exercise, ⅘ said that walking was their main form of exercise.
Therefore, the fraction of teenagers who mainly exercise by walking is ⅔ * ⅘ = 6/15 = 2/5.
The correct answer is 2/5.
To find the fraction of teenagers who mainly exercise by walking, we need to multiply the fractions that represent the proportions of teenagers who do regular exercise and the proportion of those who walk as their main form of exercise.
The first step is to find the fraction of teenagers who do regular exercise. The survey states that ⅔ of teenagers responded that they get regular exercise. So, the fraction of teenagers who do regular exercise is ⅔.
Next, we need to find the fraction of those who do regular exercise and walk as their main form of exercise. The survey states that ⅘ of those who do regular exercise said that walking was their main form of exercise. So, the fraction of teenagers who mainly exercise by walking is ⅘ of ⅔.
To multiply fractions, we multiply the numerators to get the new numerator, and we multiply the denominators for the new denominator.
⅘ * ⅔ = (8 * 3) / (5 * 2) = 24/10 = 12/5
Therefore, the fraction of teenagers who mainly exercise by walking is 12/5.
However, the given answer choices don't include 12/5 as an option. They only provide 1 7/15, 8/15, 6/8, and 3/4. Therefore, none of the given answer choices is correct based on the information provided.
To find the fraction of teenagers who mainly exercise by walking, we need to multiply the fractions that represent each step of the information given.
⅔ of teenagers responded that they got regular exercise, and ⅘ of those said that walking was their main form of exercise.
Step 1: Find the fraction of teenagers who said that walking was their main form of exercise.
⅔ * ⅘ = 8/15
Therefore, the fraction of teenagers who mainly exercise by walking is 8/15.
you have to pick the correct answer that was listed in the options.
I apologize for the confusion. In that case, looking at the given answer choices, the closest fraction to 8/15 is 6/8. Therefore, 6/8 is the correct answer.
Clarissa cycled at 12 1/2 miles per hour for 2 ½ hours. How far did she travel?(1 point)
15
15
25
25
3114
31 and 1 fourth
10
To find the distance Clarissa traveled, we need to multiply her speed (12 1/2 miles per hour) by the time she traveled (2 1/2 hours).
First, let's convert 12 1/2 to an improper fraction: 12 1/2 = 25/2
Next, let's convert 2 1/2 to an improper fraction: 2 1/2 = 5/2
To multiply fractions, we multiply the numerators to get the new numerator, and we multiply the denominators for the new denominator.
(25/2) * (5/2) = (25 * 5) / (2 * 2) = 125/4 = 31 1/4
Therefore, Clarissa traveled a distance of 31 1/4 miles.
The correct answer is 31 and 1/4.
Compute: 9/11
÷ 1/3
. Simplify the answer if possible.
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1/3 is 3/1.
So, 9/11 ÷ 1/3 is equivalent to 9/11 * 3/1.
To multiply fractions, we multiply the numerators to get the new numerator, and we multiply the denominators to get the new denominator.
(9/11) * (3/1) = 27/11
Therefore, 9/11 ÷ 1/3 simplifies to 27/11.
Ayub is making ¼ foot long bracelets for each of his friends. He has 1 ½ feet of cord to make the bracelets. How many bracelets can he make?(1 point)
6 bracelets
6 bracelets
⅓ bracelets
⅓ bracelets
⅜ braclets
⅜ braclets
0. He doesn't have enough cord.
To calculate the number of bracelets Ayub can make, we need to divide the total length of cord (1 ½ feet) by the length of each bracelet (¼ foot).
First, let's convert 1 ½ to an improper fraction: 1 ½ = 3/2
Next, we divide 3/2 by 1/4.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(3/2) ÷ (1/4) = (3/2) * (4/1) = (3 * 4) / (2 * 1) = 12/2 = 6
Therefore, Ayub can make 6 bracelets.
The correct answer is 6 bracelets.
How many ¾ cup servings are in ⅔ cup of yogurt?(1 point)
½ cup of yogurt
½ cup of yogurt
4/7 cup of yogurt
4/7 cup of yogurt
8/9 cup of yogurt
8/9 cup of yogurt
1 cup of yogurt
To find the number of ¾ cup servings in ⅔ cup of yogurt, we need to divide ⅔ by ¾.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
⅔ ÷ ¾ = ⅔ * 4/3
Let's simplify the fractions before multiplying.
⅔ = 2/3
4/3 * 2/3 = 8/9
Therefore, there are 8/9 cup servings of ¾ cup in ⅔ cup of yogurt.
The correct answer is 8/9 cup of yogurt.
What is the quotient of 8/9 ÷ 5? Simplify answer if needed.
To divide a fraction by a whole number, we can convert the whole number to a fraction with a denominator of 1.
So, we can rewrite 5 as 5/1.
To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number.
Therefore, 8/9 ÷ 5/1 is equivalent to 8/9 * 1/5.
To multiply fractions, we multiply the numerators to get the new numerator, and we multiply the denominators to get the new denominator.
(8/9) * (1/5) = (8 * 1) / (9 * 5) = 8/45.
Therefore, the quotient of 8/9 ÷ 5 is 8/45.
What is the reciprocal of ⅘?(1 point)
.20
.20
1/5
1/5
5/4
5/4
0.8
The reciprocal of a fraction is obtained by flipping the numerator and denominator of the fraction.
The reciprocal of ⅘ is 5/4.
Therefore, the reciprocal of ⅘ is 5/4.
The correct answer is 5/4.
Angela is crocheting scarfs for seniors at the nursing home. She needs 20 ¼ yards of yarn for each scarf. If she is given 324 yards of yarn by the craft shop, how many scarves can she crochet?(1 point)
16 scarves
16 scarves
304 scarves
304 scarves
344 scarves
344 scarves
32 scarves
To determine how many scarves Angela can crochet, we need to divide the total yards of yarn she has (324 yards) by the number of yards of yarn needed for each scarf (20 ¼ yards).
First, let's convert 20 ¼ yards to an improper fraction: 20 ¼ = 81/4
Next, we divide 324 yards by 81/4 yards:
To divide by a fraction, we multiply by the reciprocal of the fraction.
324 yards ÷ (81/4) yards = 324 yards * (4/81) yards
Let's simplify before multiplying:
324 yards = 324/1 yards
(324/1) yards * (4/81) yards = (324 * 4) / (1 * 81) = 1296 / 81 = 16
Therefore, Angela can crochet 16 scarves with 324 yards of yarn.
The correct answer is 16 scarves.
Kaylee has 4 cups of sugar. She needs to divide the sugar equally into containers holding 1/3 of a cup of sugar. How many containers will Kaylee be able to fill?(1 point)
1 ⅓ cups
1 ⅓ cups
12 cups
12 cups
1/12 cup
1/12 cup
¾ cup
To determine the number of containers Kaylee can fill, we need to divide the total amount of sugar she has (4 cups) by the amount of sugar that can be held in each container (1/3 cup).
To divide by a fraction, we multiply by the reciprocal of the fraction. The reciprocal of 1/3 is 3/1.
So, 4 cups ÷ (1/3) cup = 4 cups * (3/1) cup.
To multiply fractions, we multiply the numerators to get the new numerator, and we multiply the denominators to get the new denominator.
4 cups * 3/1 cup = (4 * 3) / (1 * 1) = 12/1 = 12
Therefore, Kaylee will be able to fill 12 containers.
The correct answer is 12 cups.
Mrs. Ebert feeds her dog 1/3 of a cup of dog food twice each day. How long will 6 cups of dog food last?(1 point)
18 days
18 days
2 days
2 days
4 days
4 days
9 days
To determine how long 6 cups of dog food will last, we need to divide the total amount of dog food (6 cups) by the amount of dog food the dog eats each day (1/3 cup * 2).
First, let's calculate the amount of dog food the dog eats each day: 1/3 cup * 2 = 2/3 cup.
Next, let's divide 6 cups by 2/3 cup.
To divide by a fraction, we multiply by the reciprocal of the fraction. The reciprocal of 2/3 is 3/2.
So, 6 cups ÷ (2/3) cup = 6 cups * (3/2) cup.
To multiply fractions, we multiply the numerators to get the new numerator, and we multiply the denominators to get the new denominator.
6 cups * 3/2 cup = (6 * 3) / (1 * 2) = 18/2 = 9.
Therefore, 6 cups of dog food will last 9 days.
The correct answer is 9 days.
TJ has 12 problems left on his math test. He has solved 2/3 of the problems already. How many problems has TJ solved already?(1 point)
36 problems
36 problems
24 problems
24 problems
48 problems
48 problems
12 problems
To find out how many problems TJ has solved already, we need to multiply the total number of problems (12) by the fraction of problems he has solved (2/3).
To multiply a whole number by a fraction, we multiply the whole number by the numerator of the fraction and keep the denominator the same.
So, 12 * (2/3) = (12 * 2) / 3 = 24/3 = 8.
Therefore, TJ has solved 8 problems already.
The correct answer is 8 problems.
Pick the correct answer that was listed
I apologize for the confusion. Looking at the given answer choices, the correct answer is 8 problems.
Therefore, the correct answer is 8 problems.