Gia spends 2/5 of her money on a shirt. Then spends 4/9 of her remaining money on a pair of shoes. What fraction of her money is left.

Let's say that Gia starts with an amount of money we can call x. By spending 2/5 of her money (or (2/5) x) on a shirt, her money is now x - (2/5) x = (5/5) x - (2/5) x = (3/5) x. That is her remaining money. To find 4/9 of her remaining money, we must multiply her remaining money by 4/9 to get (3/5) x*4/9 = (12/45) x. Therefore, Gia spends (12/45) of her original amount on a pair of shoes. We must subtract that from (3/5) to get her final amount of (3/5) x - (12/45) x = (27/45) x - (12/45) x = (15/45) x = (1/3) x as her remaining money, so your answer is 1/3

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