Simplify each of the following and write as a rational number of the form `p/q :\ ` `3/4+5/6+(-7)/8` (ii) `2/3+(-5)/6+(-7)/9`

Explanation

(i)Simplifying the given numbers:
`=3/4+5/6+(-7)/8`
`=3/4+5/6-7/8`
Taking LCM, we get LCM as `24`.
`=(18+20-21)/24`
`=(17)/24`
Hence, the rational number of the form `p/q` is `17/24`.

(ii)Simplifying the given numbers:
`=2/3+(-5)/6+(-7)/9`
`=2/3-5/6-7/9`
Taking LCM, we get LCM as `18`.
`=(12-15-14)/18`
`=(-17)/18`
Hence, the rational number of the form `p/q` is `-17/18`.