Express each of the following as a rational number of the form `p/q :\ ` `(-8)/3+(-1)/4+(-11)/6+3/8-3` (ii) `6/7+1+(-7)/9+(19)/(21)+(-12)/7`

Explanation

(i)Adding the given numbers:
`=(-8)/3+(-1)/4+(-11)/6+3/8-3`
`=-8/3-1/4-11/6+3/8-3`
Taking LCM, we get LCM as `24`.
`=(-64-6-44+9-72)/24`
`=(-59xx3)/24`
`=-177/24`
Dividing numerator and denominator by `3`
`=-59/8`Hence, the rational number of the form `p/q` is `-59/8`.

(ii)Adding the given numbers:
`=6/7+1+(-7)/9+19/21+(-12)/7`
`=6/7+1-7/9+19/21-12/7`
Taking LCM, we get LCM as `63`.
`=(54+63-49+57-108)/63`
`=(174+157)/63`
`=17/63`
Hence, the rational number of the form `p/q` is `17/63`.