Simplify each of the following and write as a rational number of the form `p/q :\ ` `(-9)/(10)+(22)/(15)+(13)/(-20)` (ii) `5/3+3/2+(-7)/3+3`

Explanation

(i)Adding the given numbers:
`=(-9)/10+22/15+13/-20`
`=-9/10+22/15-13/20`
Taking LCM, we get LCM as `60`.
`=(-54+88-39)/60`
`=(-93+88)/60`
`=-5/60`
Dividing numerator and denominator by `5`
`=-1/12`Hence, the rational number of the form `p/q` is `-1/12`.

(ii)Adding the given numbers:
`=5/3+3/2+(-7)/3+3`
`=5/3+3/2-7/3+3`
Taking LCM, we get LCM as `6`.
`=(10+9-14+18)/6`
`=(37-14)/6`
`=23/6`
Hence, the rational number of the form `p/q` is `23/6`.