Elise ran at 2 ¾ miles per hour for 2 ⅓ hours. How far did she travel?
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1 point
6 7/12 miles
4 4/7 miles
6 5/12 miles
9 ⅜ miles
To find the distance Elise traveled, we need to multiply her speed by the time she ran.
Her speed is 2 ¾ miles per hour, which can be written as the improper fraction 11/4 miles per hour.
Her time is 2 ⅓ hours, which can be written as the improper fraction 7/3 hours.
Multiplying the two fractions, we get:
11/4 * 7/3 = 77/12 miles
Converting 77/12 to a mixed number, we have:
6 5/12 miles
Therefore, Elise traveled 6 5/12 miles.
The answer is 6 5/12 miles.
Compute: 9/11 ÷ 6/7. Simplify the answer if possible.
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0 points
54/77
15/18
5/6
21/22
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
So, 9/11 ÷ 6/7 can be written as 9/11 * 7/6.
Multiplying the numerators and denominators, we get:
(9 * 7) / (11 * 6) = 63/66.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3.
63/66 ÷ 3/3 = (63/66) * (3/3) = 189/198.
Therefore, the simplified answer is 189/198, which cannot be simplified further.
The answer is 189/198.
Ayub is making ¼ foot long bracelets for each of his friends. He has 3 ½ feet of cord to make the bracelets. How many bracelets can he make?
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1 point
8
10
12
To find out how many bracelets Ayub can make, we need to divide the total length of cord he has by the length of each bracelet.
Ayub has 3 ½ feet of cord, which can be written as the mixed number 7/2 feet.
Each bracelet is 1/4 foot long.
Dividing 7/2 by 1/4, we can multiply the two fractions:
(7/2) / (1/4) = (7/2) * (4/1) = 28/2 = 14.
Therefore, Ayub can make 14 bracelets.
The answer is 14.
How many ⅔ cup servings are in 5/6 cup of yogurt?
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1 point
1 ¼ servings
4/5 of a serving
5/9 of a serving
1 serving
To find out how many 2/3 cup servings are in 5/6 cup of yogurt, we need to divide the total amount of yogurt by the serving size.
5/6 ÷ 2/3 can be written as (5/6) * (3/2).
Multiplying the numerators and denominators, we get:
(5 * 3) / (6 * 2) = 15/12.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3.
15/12 ÷ 3/3 = (15/12) * (3/3) = 45/36.
Therefore, there are 45/36 or 5/4 servings of 2/3 cup in 5/6 cup of yogurt.
The answer is 5/4 servings or 1 ¼ servings.
What is the quotient of 8/9 ÷ 4? Simplify answer if needed.
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To divide a fraction by a whole number, we can multiply the fraction by the reciprocal of the whole number.
So, 8/9 ÷ 4 can be written as 8/9 * 1/4.
Multiplying the numerators and denominators, we get:
(8 * 1) / (9 * 4) = 8/36.
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4.
8/36 ÷ 4/4 = (8/36) * (1/4) = 8/144.
Therefore, the quotient of 8/9 ÷ 4 is 8/144, which cannot be simplified further.
The answer is 8/144.