To find the quotient of two fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 2/3 is 3/2.
So, we have:
9/10 ÷ 2/3 = 9/10 × 3/2 = (9 × 3) / (10 × 2) = 27/20
Therefore, the quotient of 9/10 and 2/3 is 27/20.
Find the quotient of 9/10 and 2/3
11 answers
What is 3/10÷1/3
To divide two fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
So, we have:
3/10 ÷ 1/3 = 3/10 × 3/1 = (3 × 3) / (10 × 1) = 9/10
Therefore, the quotient of 3/10 and 1/3 is 9/10.
So, we have:
3/10 ÷ 1/3 = 3/10 × 3/1 = (3 × 3) / (10 × 1) = 9/10
Therefore, the quotient of 3/10 and 1/3 is 9/10.
Stacy is painting her bedroom. She is able to paint 34 of the bedroom in 3 hours. At this rate, how long will it take her to paint the entire room?
To find the time it will take Stacy to paint the entire room, we need to set up a proportion.
Let x represent the number of hours it will take Stacy to paint the entire room.
The proportion can be set up as:
34/3 = 1/x
To solve for x, we can cross multiply:
34x = 3
Dividing both sides of the equation by 34, we get:
x = 3/34
This means it will take Stacy 3/34 of an hour to paint the entire room. However, it's more common to express time in minutes or hours. Let's convert this fraction into a more readable form.
3/34 of an hour is approximately 0.088 hours.
Therefore, it will take Stacy approximately 0.088 hours or about 5.28 minutes to paint the entire room at the same rate.
Let x represent the number of hours it will take Stacy to paint the entire room.
The proportion can be set up as:
34/3 = 1/x
To solve for x, we can cross multiply:
34x = 3
Dividing both sides of the equation by 34, we get:
x = 3/34
This means it will take Stacy 3/34 of an hour to paint the entire room. However, it's more common to express time in minutes or hours. Let's convert this fraction into a more readable form.
3/34 of an hour is approximately 0.088 hours.
Therefore, it will take Stacy approximately 0.088 hours or about 5.28 minutes to paint the entire room at the same rate.
Miguel is returning from a trip. In 4 hours, he has driven 2/3 of the total distance. He wants to know how long the total drive will take. At this rate, what is the total time it will take him to reach his destination?
To find the total time it will take Miguel to reach his destination, we need to set up a proportion.
Let x represent the total time it will take Miguel to reach his destination.
The proportion can be set up as:
(2/3) / 4 = 1/x
To solve for x, we can cross multiply:
2x = 3 * 4
2x = 12
Dividing both sides of the equation by 2, we get:
x = 12/2
x = 6
Therefore, it will take Miguel a total of 6 hours to reach his destination if he continues driving at the same rate.
Let x represent the total time it will take Miguel to reach his destination.
The proportion can be set up as:
(2/3) / 4 = 1/x
To solve for x, we can cross multiply:
2x = 3 * 4
2x = 12
Dividing both sides of the equation by 2, we get:
x = 12/2
x = 6
Therefore, it will take Miguel a total of 6 hours to reach his destination if he continues driving at the same rate.
Stacy is painting her bedroom. She is able to paint 3/4 of the bedroom in 3 hours. At this rate, how long will it take her to paint the entire room?
To find the time it will take Stacy to paint the entire room, we need to set up a proportion.
Let x represent the number of hours it will take Stacy to paint the entire room.
The proportion can be set up as:
(3/4) / 3 = 1/x
To solve for x, we can cross multiply:
(3/4) * x = 3 * 1
Multiplying both sides of the equation by 4/3 will cancel out the fraction on the left side:
x = (4/3) * 3
x = 4
Therefore, it will take Stacy 4 hours to paint the entire room at the same rate.
Let x represent the number of hours it will take Stacy to paint the entire room.
The proportion can be set up as:
(3/4) / 3 = 1/x
To solve for x, we can cross multiply:
(3/4) * x = 3 * 1
Multiplying both sides of the equation by 4/3 will cancel out the fraction on the left side:
x = (4/3) * 3
x = 4
Therefore, it will take Stacy 4 hours to paint the entire room at the same rate.
Iris is asked to sweep the gymnasium floor after a basketball game. This requires her to push a sweeper from one end of the gym to the other and repeating the pattern until she has covered the entire floor. She completes 2/3 of the floor in 1/3 of an hour. At this rate, how long will it take her to complete the entire floor?
To find the time it will take Iris to complete the entire floor, we need to set up a proportion.
Let x represent the total time it will take Iris to complete the entire floor.
The proportion can be set up as:
(2/3) / (1/3) = 1/x
To solve for x, we can simplify the left side of the proportion:
(2/3) / (1/3) = (2/3) * (3/1) = 2
Therefore, it will take Iris 2 hours to complete the entire floor at the same rate.
Let x represent the total time it will take Iris to complete the entire floor.
The proportion can be set up as:
(2/3) / (1/3) = 1/x
To solve for x, we can simplify the left side of the proportion:
(2/3) / (1/3) = (2/3) * (3/1) = 2
Therefore, it will take Iris 2 hours to complete the entire floor at the same rate.
1 answer