Question

Sam works 1/5 hour at the register of a store. He works 2/3 hour in the back stock room and 1/2 hour helping customers. How many hours did Sam work that day?

Answer 1

Sam worked
`(41)/(30)` hours that day (fractional answer)

Explanation:

The total number of hours Sam worked is the sum of all the three hours given.

Let's add the first 2 using LCM and then add that result with the last.

Firstly:

`(1)/(5)+(2)/(3)\\=(1(3)+2(5))/(15)\\=(13)/(15)`

Now,

`(13)/(15)+(1)/(2)\\=(13(2)+1(15))/(30)\\=(41)/(30)`

The hours worked by Sam is 41/30 hours (fractional answer).