Question 1.
Find the quotient of 9/10 and 2/3.
A. 30/18
B. 18/30
C. 27/20
D. 20/27
Question 2.
What is 3/10 ÷ 1/3?
A. 3/30
B. 9/10
C. 10/9
D. 10
Question 3. 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?(1 point)
A. 4 hours
B. 9/4 hours
C. 12 hours
D. 6 hours
Question 4. 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?
A. 8/3 hours
B. 6 hours
C. 8 hours
D. 12 hours
Question 5. 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?
A. 1 hour
B. 1/2 hours
C. 1 1/2
D. 2/3
Question 1: To find the quotient of 9/10 and 2/3, we divide 9/10 by 2/3. This can be done by multiplying the numerator of the first fraction (9) by the reciprocal of the second fraction (3/2). So, the answer is (9/10) * (3/2) = 27/ 20. The correct answer is C. 27/20.
Question 2: To divide 3/10 by 1/3, we again multiply the first fraction by the reciprocal of the second fraction. So, the answer is (3/10) * (3/1) = 9/10. The correct answer is B. 9/10.
Question 3: If Stacy can paint 3/4 of the bedroom in 3 hours, then we can set up a proportion to find out how long it will take her to paint the entire room. The proportion is (3/4) / 3 = 1 / x. Solving for x, we get x = 12. So, it will take Stacy 12 hours to paint the entire room. The correct answer is C. 12 hours.
Question 4: If Miguel has driven 2/3 of the total distance in 4 hours, we can set up a proportion to find out how long the total drive will take. The proportion is (2/3) / 4 = 1 / x. Solving for x, we get x = 6. So, it will take Miguel a total of 6 hours to reach his destination. The correct answer is B. 6 hours.
Question 5: If Iris can complete 2/3 of the floor in 1/3 of an hour, we can set up a proportion to find out how long it will take her to complete the entire floor. The proportion is (2/3) / (1/3) = 1 / x. Solving for x, we get x = 1. So, it will take Iris 1 hour to complete the entire floor. The correct answer is A. 1 hour.