Question

Nancy spent 3 2/6 hours working on her homework,while her sister Sally spent 1 8/12 hours working on her homework.How many more hours did Nancy spend on homework than Sally?

Answer 1

Nancy Spent
`1(8)/(12)` hours more than Sally.

Explanation:

Given:

Nancy spent 3 2/6 hours working on her homework.

Hours spent on Homework by Nancy =
`3(2)/(6)`

`3(2)/(6)` can be Rewritten as
`(20)/(6)`

Hours spent on Homework by Nancy =
`(20)/(6)`

Also Given;

Sally spent 1 8/12 hours working on her homework.

Hours spent on Homework by Sally =
`1(8)/(12)`

`1(8)/(12)` can be Rewritten as
`(20)/(12)`

Hours spent on Homework by Sally =
`(20)/(12)`

We need to find Hours spent more by Nancy;

It can be calculated by subtracting Hours spent by Sally with Hours spent by Nancy;

Hours Spent More =
`(20)/(6)-(20)/(12)`

Now we will make the denominators common then solve for the same.

Hours Spent More =
`(20* 2)/(6*2)-(20*1)/(12*1)= (40)/(12)-(20)/(12)= (40-20)/(12)= (20)/(12) \ hrs`

Hence
`(20)/(12) \ hrs` can be rewritten as
`1(8)/(12)`.

Hence Nancy Spent
`1(8)/(12)` hours more than Sally.