Add the following rational numbers:

(i) and (ii) and (iii)and


(iv)and (v)and


(vi)and (vii)and


(viii)and (ix)and


(i) Since, the denominators of given rational numbers are different therefore, we take their LCM.


LCM of 4 and 5 = 20



And



Now,







(ii) Since, the denominators of given rational numbers are different therefore, we take their LCM.


LCM of 8 and 12 = 24



And



Now,







(iii) Since, the denominators of given rational numbers are different therefore, we take their LCM.


LCM of 9 and 6 = 18



And



Now,






(iv) Since, the denominators of given rational numbers are different therefore, we take their LCM.


LCM of 16 and 24 = 48



And



Now,






(v) Since, the denominators of given rational numbers are negative therefore, we will make them positive.



Now, since, the denominators of given rational numbers are different therefore, we take their LCM.


LCM of 18 and 27 = 54



And



Now,






(vi) Since, the denominators of given rational numbers are negative therefore, we will make them positive.



And,



Now, since, the denominators of given rational numbers are different therefore, we take their LCM.


LCM of 12 and 15 = 60



And



Now,






(vii) We can write -1 as .


Now, since, the denominators of given rational numbers are different therefore, we take their LCM.


LCM of 1 and 4 = 4



And



Now,





(viii) We can write 2 as .


Now, since, the denominators of given rational numbers are different therefore, we take their LCM.


LCM of 1 and 4 = 4



And



Now,






(ix)


On adding, any number to 0 we get the same number.


Therefore,



2