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,