Question

Gia spends 2/5 of her money on a shirt she then spends 4/9 of her remaining money on a pair of shoes what fraction of her money is left

Answer 1

5/5 will be a whole, when it comes to 5ths, since she spent 2/5 of her money, 5/5 - 2/5, she has left 3/5 of the whole then.

then she spent 4/9 of her 3/5 leftover, how much is 4/9 of 3/5?  well, is just their product,   $\bf \cfrac{4}{9}\cdot \cfrac{3}{5}\implies \cfrac{12}{45}\implies \cfrac{4}{15}$

Answer 2

Answer:

1/3

Step-by-step explanation:

• Let's call x the amount of money Gia has at the beginning. If she spends 2/5 of her money, this can be represented as $\frac{2}{5}x$

• The remaining money she has after buying the shirt will be $\frac{3}{5} x$ (because she had 5/5 and she spent 2/5, 5/5 - 2/5 = 3/5)

If she spends 4/9 of this $\frac{3}{5}x$, this means she spent $\frac{4}{9}(\frac{3}{5})x=\frac{12}{45}$ on a pair of shoes.

• To know how much she has left we are going to subtract these amounts to the total:

$x-\frac{2}{5}x-\frac{12}{45}x\\ =\frac{45x-18x-12x}{45} \\=\frac{15x}{45} \\=\frac{1}{3}x$

Therefore she has 1/3 of her money left.