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 23 of the floor in 13 of an hour. At this rate, how long will it take her to complete the entire floor?(1 point)%0D%0AResponses%0D%0A%0D%0A12 hours%0D%0AStart Fraction 1 over 2 End Fraction hours%0D%0A%0D%0A112%0D%0A1 Start Fraction 1 over 2 End Fraction%0D%0A%0D%0A23 hours%0D%0AStart Fraction 2 over 3 End Fraction hours%0D%0A%0D%0A1 hour

Answer 1

To find the total time it will take Iris to complete the entire floor, we can use the equation:

(time to complete 23 of the floor) / (23 of the floor completed in 1/3 of an hour) = (total time) / (1)

Let's solve this equation:

(total time) / (1) = (13/23) / (1/3)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(total time) = (13/23) * (3/1)

(total time) = 39/23

Therefore, it will take Iris 39/23 of an hour to complete the entire floor.