Rachel completed 3/4 of her cleaning in 4 hours. How many total hours will Rachel spend cleaning?

4 divided by 3/4
4/1x4/3=16/3= 5 1/3 hours
Is this correct?

Right.

yes

To find the total hours Rachel will spend cleaning, you need to divide the 4 hours it took her to complete 3/4 of the cleaning by 3/4.

To divide by a fraction, you can multiply by the reciprocal (flipped version) of that fraction. In this case, the reciprocal of 3/4 is 4/3.

So, you can multiply 4 hours by 4/3:

4 hours x 4/3 = (4/1) x (4/3) = 16/3 hours

The result of 16/3 can be written as a mixed number, which is 5 1/3 hours.

So, yes, your answer of 5 1/3 hours is correct. Rachel will spend a total of 5 1/3 hours cleaning.