Natalia finishes 2/3 of her homework in 3/4 hours. how long will it take her to finish all of her homework?

oops. 3/2 * 3/4 = 9/8 hr

4/3 * 2/3 = 8/9 hr

(2/3)/(3/4) = 1/x

2/3*4/3 = 1/x
8/9 = 1/x
X = 9/8 hr.

To find out how long it will take Natalia to finish all of her homework, we need to divide the time it took her to finish 2/3 of her homework by 2/3.

Natalia finished 2/3 of her homework in 3/4 hours.

To find how long it takes to finish 1/3 of her homework, we need to divide 3/4 by 2, since 2/3 is two-thirds of the whole homework.

3/4 divided by 2 = 3/4 * 1/2 = 3/8

Therefore, it takes Natalia 3/8 hours to finish 1/3 of her homework.

To find how long it takes to finish all of her homework, we need to multiply the time it takes to finish 1/3 of her homework by 3, since there are three-thirds in total.

3/8 * 3 = 9/8

Therefore, it will take Natalia 9/8 hours to finish all of her homework.