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

Explanation

(i) Evaluating `2/3-3/5`
`=2/3-3/5`
Taking LCM, we get the LCM as `15`.
`=(10-9)/15`
`=1/10`
We get the answer as `1/10`.

(ii)Evaluating `4/7-(2/-3)`
`=4/7+2/3`
Taking LCM, we get the LCM as `21`.
`=(12+14)/21`
`=26/21`
We get the answer as `26/21`.

(iii)Evaluating `4/7-((-5)/-7)`
As there is `-` in both numerator and denominator it will get cancelled and the rational number will become positive.
`=4/7-5/7`
Taking LCM, we get the LCM as `7`.
`=(4-5)/7`
`=-1/7`
We get the answer as `-1/7`.