Find the quotient of 910 and 23 .(1 point)
Find the quotient of 9/10 and 2/3 .(1 point)
4 is wrong it is 6 hours
To find the quotient of 910 and 23, divide 910 by 23.
Step 1: Write down the dividend (910) and the divisor (23).
Step 2: Perform the division by finding out how many times the divisor can be divided into the dividend without going over.
In this case, the largest multiple of 23 that is less than or equal to 910 is 39 (23 x 39 = 897).
Step 3: Subtract that multiple from the dividend: 910 - 897 = 13.
Step 4: Bring down the next digit of the dividend (if there are any remaining).
In this case, there are no more digits, as we have only divided one digit (910) by a two-digit divisor (23).
Step 5: Repeat steps 2-4 with the new dividend (13).
The largest multiple of 23 that is less than or equal to 13 is 0 (23 x 0 = 0).
Step 6: Subtract 0 from 13: 13 - 0 = 13.
Step 7: Since there are no more digits in the dividend, we can stop here.
The quotient of 910 divided by 23 is 39 with a remainder of 13.
Therefore, the answer is 39.
To find the quotient of 910 divided by 23, follow these steps:
Step 1: Set up the division problem:
910 ÷ 23
Step 2: Start dividing:
- Divide the first digit of 910 (9) by 23.
- The quotient is 0.
- Write 0 above the division bar.
- Subtract 0 from 9, which gives you 9.
Step 3: Bring down the next digit:
- Bring down the next digit of 910 (1) beside the remainder of 9.
- You now have 91.
Step 4: Divide 91 by 23:
- Divide 91 by 23.
- The quotient is 3.
- Write 3 above the division bar.
- Subtract 3 multiplied by 23 from 91, which gives you 2.
Step 5: Bring down the next digit:
- Bring down the next digit of 910 (0) beside the remainder of 2.
- You now have 20.
Step 6: Divide 20 by 23:
- Divide 20 by 23.
- The quotient is 0.
- Write 0 above the division bar.
- Subtract 0 multiplied by 23 from 20, which gives you 20.
Step 7: Bring down the next digit:
- Bring down the next digit of 910 (0) beside the remainder of 20.
- You now have 200.
Step 8: Divide 200 by 23:
- Divide 200 by 23.
- The quotient is 8.
- Write 8 above the division bar.
- Subtract 8 multiplied by 23 from 200, which gives you 24.
Step 9: Bring down the next digit:
- Bring down the next digit of 910 (0) beside the remainder of 24.
- You now have 240.
Step 10: Divide 240 by 23:
- Divide 240 by 23.
- The quotient is 10.
- Write 10 above the division bar.
- Subtract 10 multiplied by 23 from 240, which gives you 40.
Step 11: Bring down the next digit:
- There are no more digits to bring down.
Step 12: Final answer:
- The quotient of 910 ÷ 23 is 39.
Therefore, the quotient of 910 divided by 23 is 39.
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.
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.
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.
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.
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.
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.