After spending 2/5 of her money on a bag, she has 3/5 of the original amount of money left. As she gave 2/3 of the remaining amount of money to her sister, she gave 2/5 of the original amount of money to her sister (3/5 × 2/3 = 2/5). Therefore, there's only 1/5 (1 - 2/5 - 2/5 = 1/5) of the original amount of money left in her bag.
