Question

Add 3
`(5)/(6)`+(-1
`(1)/(6)` Write your answer as a mixed number in simplest form.

Answer 1

2
`(2)/(3)`

Explanation:

3
`(5)/(6)` can be written
`(6)/(6)` +
`(6)/(6)` +
`(6)/(6)` +
`(5)/(6)` =
`(23)/(6)` (
`(6)/(6)` is the same one)

1
`(1)/(6)` can be written
`(6)/(6)` +
`(1)/(6)` =
`(7)/(6)`

Adding a negative number is like subtracting a positive number.

`(23)/(6)` -
`(7 )/(6)` =
`(16)/(6)` 6 goes into 16 2 times with 4 left over

2
`(4)/(6)` Divide the top and bottom by 2 to get

2
`(2)/(3)`

Answer 2

Answer: 2 2/3 or 8/3

Explanation:

3 5/6 = 23/6

-1 1/6 = -7/6

23/6-7/6

16/6

simplify

8/3