Question

A swimming pool is open for 7 1/2 hours during a day. The pool keeps one lifeguard on duty at a time, and each lifeguard's shift is 1 1/2 hours long. How many shifts are there per day?

Answer 1

There are 5 shifts because 7 1/2 divided by 1 1/2 equals 5.

Answer 2

`5\ shifts`

Explanation:

To find out how many shifts there are per day, divide the total number of hours during the day the pool is open by the duration of each lifeguard's shift.

so

Convert mixed number to an improper fraction first

`7(1)/(2)=(7*2+1)/(2)=15/2`

`1(1)/(2)=(1*2+1)/(2)=3/2`

`((15/2))/((3/2))=5\ shifts`