Add and express the sum as a mixed fraction: `(-31)/6a n d(-27)/8` (ii) `(101)/6a n d7/8`

Explanation

`(i) (-31/6) `And `(-27/8)`
The LCM of `6` and `8` is `24`
Consider `(-31/6) = (-31/6) xx(4/4) = (-124/24)`
Again `(-27/8) = (-27/8) xx (3/3) = (-81/24)`
` (-31/6) + (-27/8) = (-124/24) + (-81/24)`
` (-124 – 81)/24 `
` (-205/24)`
Now converting it into mixed fraction
` -8 (13/24)`
`(ii)( 101/6 )+ 7/8`
let us take the LCM for` 6` and `8` which is `24`
`(101xx4)/(6xx4) + (7xx3)/(8xx3)`
`404/24 + 21/24`
Since the denominators are same we can add them directly
`(404+21)/24`
`425/24`
`425/24 `can be written as `17 17/24` in mixed fraction.