Question

A hotel housekeeper has cleaned 1 3 of the first floor in 1 5 of an hour. at what rate is she cleaning? simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answer 1

The rate at which the hotel housekeeper is cleaning is ⅔ of the floor per hour, found by dividing ⅓ by ⅕ and simplifying the result to a proper fraction.

Step-by-step explanation:

The student is asking about the rate at which a hotel housekeeper is cleaning. To find this rate, we divide the portion of the floor that has been cleaned (⅓) by the time it took (⅕ of an hour). We have to manipulate these fractions to find the rate in terms of how much of the floor the housekeeper cleans per hour.

⅓ ÷ ⅕ = (⅓) × (5/1) = 5/9. So, the housekeeper cleans ⅔ of the floor per hour. This is the simplified rate of her cleaning and can be expressed as a proper fraction.