Evaluate each of the following: (i)`-2-5/9` (ii) `(-3)/(-8)-(-2)/7` (iii) `(-4)/(13)-(-5)/(26)`

Explanation

(i) Evaluating `-2-5/9`
`=-2-5/9`
Taking LCM, we get the LCM as `9`.
`=(-18-5)/9`
`=-23/9`
We get the answer as `-23/9`.

(ii)Evaluating `(-3)/-8-((-2)/7)`
`=((-3)/-8)+2/7`
As there is `-` in both numerator and denominator it will get cancelled and the rational number will become positive.
`3/8+2/7`
Taking LCM, we get the LCM as `56`.
`=(21+16)/56`
`=(37)/56`
We get the answer as `37/56`.

(iii)Evaluating `(-4)/13-((-5)/26)`
`=-4/13+5/26`
Taking LCM, we get the LCM as `26`.
`=(-8+5)/26`
`=-3/26`
We get the answer as `-3/26`.