Find the quotient of 910 and 23 .(1 point)
13 answers
The quotient of 910 and 23 is 39.56521739
Find the quotient of 9/10 and 2/3 .(1 point)
To find the quotient of 9/10 and 2/3, multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 2/3 = 3/2
So, we have:
9/10 ÷ 2/3 = 9/10 x 3/2
Now, multiply the numerators together: 9 x 3 = 27
And multiply the denominators together: 10 x 2 = 20
Therefore, the quotient of 9/10 and 2/3 is 27/20.
Reciprocal of 2/3 = 3/2
So, we have:
9/10 ÷ 2/3 = 9/10 x 3/2
Now, multiply the numerators together: 9 x 3 = 27
And multiply the denominators together: 10 x 2 = 20
Therefore, the quotient of 9/10 and 2/3 is 27/20.
What is 3/10÷1/3 ?(1 point)
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 1/3 = 3/1
So, we have:
3/10 ÷ 1/3 = 3/10 x 3/1
Now, multiply the numerators together: 3 x 3 = 9
And multiply the denominators together: 10 x 1 = 10
Therefore, the quotient of 3/10 ÷ 1/3 is 9/10.
Reciprocal of 1/3 = 3/1
So, we have:
3/10 ÷ 1/3 = 3/10 x 3/1
Now, multiply the numerators together: 3 x 3 = 9
And multiply the denominators together: 10 x 1 = 10
Therefore, the quotient of 3/10 ÷ 1/3 is 9/10.
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?
If Stacy is able to paint 3/4 of the bedroom in 3 hours, it means that she paints 3/4 of the room in 3 hours.
To find out how long it will take her to paint the entire room, we need to find the time it takes for 1/4 of the room to be painted and then multiply that time by 4.
Since 3/4 of the room is painted in 3 hours, we can find the time to paint 1/4 of the room by dividing 3 hours by 3.
3 hours ÷ 3 = 1 hour.
Therefore, it will take Stacy 1 hour to paint 1/4 of the bedroom. To paint the entire room, it will take her 4 times that amount of time.
4 x 1 hour = 4 hours.
Therefore, it will take Stacy 4 hours to paint the entire room.
To find out how long it will take her to paint the entire room, we need to find the time it takes for 1/4 of the room to be painted and then multiply that time by 4.
Since 3/4 of the room is painted in 3 hours, we can find the time to paint 1/4 of the room by dividing 3 hours by 3.
3 hours ÷ 3 = 1 hour.
Therefore, it will take Stacy 1 hour to paint 1/4 of the bedroom. To paint the entire room, it will take her 4 times that amount of time.
4 x 1 hour = 4 hours.
Therefore, it will take Stacy 4 hours to paint the entire room.
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?(1 point)
If Miguel has driven 2/3 of the total distance in 4 hours, it means that he drives 2/3 of the distance in 4 hours.
To find out the total time it will take him to reach his destination, we need to find the time it takes for 1/3 of the distance to be driven and then add that time to the 4 hours he has already driven.
Since 2/3 of the distance is driven in 4 hours, we can find the time to drive 1/3 of the distance by dividing 4 hours by 2.
4 hours ÷ 2 = 2 hours.
Therefore, it will take Miguel 2 hours to drive 1/3 of the total distance. To drive the remaining 1/3 of the distance, it will also take 2 hours.
Total time = 4 hours + 2 hours + 2 hours = 8 hours.
Therefore, it will take Miguel a total of 8 hours to reach his destination.
To find out the total time it will take him to reach his destination, we need to find the time it takes for 1/3 of the distance to be driven and then add that time to the 4 hours he has already driven.
Since 2/3 of the distance is driven in 4 hours, we can find the time to drive 1/3 of the distance by dividing 4 hours by 2.
4 hours ÷ 2 = 2 hours.
Therefore, it will take Miguel 2 hours to drive 1/3 of the total distance. To drive the remaining 1/3 of the distance, it will also take 2 hours.
Total time = 4 hours + 2 hours + 2 hours = 8 hours.
Therefore, it will take Miguel a total of 8 hours to reach his destination.
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?(1 point
If Iris completes 2/3 of the floor in 1/3 of an hour, it means that she sweeps 2/3 of the floor in 1/3 of an hour.
To find out how long it will take her to complete the entire floor, we need to multiply the time it takes her to sweep 2/3 of the floor by 3/2.
(1/3 hour) x (3/2) = (1/3) x (3/2) = 1/2 hour
Therefore, it will take Iris 1/2 hour to complete the entire floor.
To find out how long it will take her to complete the entire floor, we need to multiply the time it takes her to sweep 2/3 of the floor by 3/2.
(1/3 hour) x (3/2) = (1/3) x (3/2) = 1/2 hour
Therefore, it will take Iris 1/2 hour to complete the entire floor.
4 is wrong it is 6 hours
Apologies for the incorrect response. Let's recalculate the time it will take Iris to complete the entire floor.
If Iris completes 2/3 of the floor in 1/3 of an hour, it means she sweeps 2/3 of the floor per 1/3 hour.
To find out how long it will take her to complete the remaining 1/3 of the floor, we can set up a proportion:
(2/3) floor is swept in (1/3) hour
1/3 floor is swept in x hours
Cross-multiplying, we get:
(2/3) * (1/3) = (1/3) * x
2/9 = x/3
To isolate x, we multiply both sides of the equation by 3:
(2/9) * 3 = x
6/9 = x
Simplifying the fraction, we get:
2/3 = x
Therefore, it will take Iris an additional 2/3 hour to complete the remaining 1/3 of the floor, which is equivalent to 40 minutes.
Adding the initial 1/3 hour she has already spent sweeping, the total time it will take her to complete the entire floor is:
1/3 hour + 2/3 hour = 1 hour
Therefore, it will take Iris 1 hour to complete the entire gymnasium floor.
If Iris completes 2/3 of the floor in 1/3 of an hour, it means she sweeps 2/3 of the floor per 1/3 hour.
To find out how long it will take her to complete the remaining 1/3 of the floor, we can set up a proportion:
(2/3) floor is swept in (1/3) hour
1/3 floor is swept in x hours
Cross-multiplying, we get:
(2/3) * (1/3) = (1/3) * x
2/9 = x/3
To isolate x, we multiply both sides of the equation by 3:
(2/9) * 3 = x
6/9 = x
Simplifying the fraction, we get:
2/3 = x
Therefore, it will take Iris an additional 2/3 hour to complete the remaining 1/3 of the floor, which is equivalent to 40 minutes.
Adding the initial 1/3 hour she has already spent sweeping, the total time it will take her to complete the entire floor is:
1/3 hour + 2/3 hour = 1 hour
Therefore, it will take Iris 1 hour to complete the entire gymnasium floor.
1 answer