Olivia bought a book using 1/3 of her savings and spent another 1/3 of the remainder on presents for her grandmother. What fraction of her saving was left

Question

I don't understand how to find the answer 

Answer 1

ONE THIRD spent, two thirds remained. Next, O spent one third of the 2/3...so that is two ninths! So far, she has spent 1/3 + 2/9 of original amount of savings,which is 5/9 of original, so there are 4/9 left.