Using the rearrangement property find the sum:

(i)


(ii)


(iii)


(iv)


Rearrangement property says that, the numbers in an addition expression may be arranged and grouped in any order.


Therefore,


(i)


We arrange the numbers with same denominators together,





Now, we take LCM of 3 and 5=15



And,



Therefore,







(ii)



We arrange the numbers,



LCM of 3 and 6 =6



And,



LCM of 4 and 8 =8



And,



Now,





Now, we take LCM of 6 and 8=24



And,



Therefore,






In lowest terms,



(iii)



We arrange the numbers,



LCM of 20 and 10 =20



And,



LCM of 14 and 7 =14



And,



Now,





Now, we take LCM of 20 and 14=140



And,



Therefore,






(iv)



We arrange the numbers,



LCM of 4 and 9 =18



And,



Now,






In lowest terms,



Now, we take LCM of 1 and 18=18



And,



Therefore,







8
1