Lee finishes 2/3 of her homework in 3/4 hours. how long will it take her to finish all of her homework?
Well, if Lee finishes 2/3 of her homework in 3/4 hours, then it seems like she's not making much progress. Maybe her homework is like a never-ending saga, and she'll be doing it for eternity! But let's do the calculations anyway. To find out how long it will take her to finish all of her homework, we can use a simple equation. If 2/3 of the homework is done in 3/4 hours, then 1/3 of the homework is done in half that time, which is 3/8 hours. So, if Lee spends 3/8 hours to finish 1/3 of her homework, then it'll take her 3 times as long to finish the remaining 2/3 of her homework. Thus, Lee will need (3/8 * 3) = 9/8 hours to finish all of her homework. But don't worry, Lee, the fun and laughter will keep you going!
9/8
To find out how long it will take Lee to finish all of her homework, we need to determine the time it takes for her to finish 1 unit of homework (assuming all units are the same size).
Given that Lee finishes 2/3 of her homework in 3/4 hours, we can divide the time by the amount of homework completed:
(3/4 hours) ÷ (2/3 homework) = 1.5 hours per homework
Therefore, it will take Lee approximately 1.5 hours to finish one unit of her homework.
To find out how long it will take Lee to finish all of her homework, we need to determine the amount of time it takes her to complete 1/3 of her homework.
First, let's calculate the amount of homework Lee finished in 3/4 hours. We can find this by multiplying the fraction 2/3 with the fraction 3/4:
(2/3) * (3/4) = 6/12 = 1/2
So, Lee finished 1/2 of her homework in 3/4 hours.
To determine how much time it takes her to finish 1/3 of her homework, we need to divide the time it took for her to finish 1/2 of her homework by 1/2.
Since 3/4 is equal to 1/2, it took Lee 3/4 hours to finish 1/2 of her homework.
Since 1/2 is half of 1/3, we can find the time it takes to finish 1/3 of her homework by dividing 3/4 by 2:
(3/4) / 2 = 3/8
Therefore, it will take Lee 3/8 hours to finish 1/3 of her homework.
To find the total time it will take for her to finish all of her homework, we can multiply the time it takes to finish 1/3 of her homework by 3 (since 1/3 + 1/3 + 1/3 = 3/3 = 1).
(3/8) * 3 = 9/8
So, it will take Lee 9/8 hours to finish all of her homework.
2/3 of homework in 3/4 hours,
1/3 of homework in 3/8 hours
3/3 of homework in 9/8 hours
or
x hours/(3/4)hours = all homework/( 2/3 of homework)
x/ (3/4) = 1/ (2/3)
2/3 x = 3/4
x = (3/4)/(2/3) = 9/8
or
2/3 homework : 3/4 hours = 1 homework : x hours
2/3 : 3/4 = 1 : x
2/3 x = 3/4
etc, same as above