Question

1 plus 1 over 2 plus 1 over 3

Answer 1

The answer is 1 5/6

Answer 2

`(2)/(9)`

Explanation:

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

This can be written

`(2)/(3)`÷3

Which can be written

`(2)/(3)`÷
`(3)/(1)` There is a couple of ways to solve this, but the way that makes the most sense is to get a common denominator which is 6 and write two equivalent fractions.

`(2)/(3)` x
`(2)/(2)` =
`(4)/(6)` (
`(2)/(2)` is another name for 1. So I am using it to make an equivalent fractions.

`(3)/(1)` x
`(6)/(6)` =
`(18)/(6)`

`(4)/(6)` ÷
`(18)/(6)` =
`((4)/(18) )/((6)/(6) )` =
`((4)/(18) )/(1)` =
`(4)/(18)`

`(4)/(18)` ÷
`(2)/(2)` =
`(2)/(9)`

Helping in the name of Jesus.