Answer :
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, [tex]\bf \cfrac{4}{9}\cdot \cfrac{3}{5}\implies \cfrac{12}{45}\implies \cfrac{4}{15}[/tex]
then she spent 4/9 of her 3/5 leftover, how much is 4/9 of 3/5? well, is just their product, [tex]\bf \cfrac{4}{9}\cdot \cfrac{3}{5}\implies \cfrac{12}{45}\implies \cfrac{4}{15}[/tex]
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 [tex]\frac{2}{5}x[/tex]
- The remaining money she has after buying the shirt will be [tex]\frac{3}{5} x[/tex] (because she had 5/5 and she spent 2/5, 5/5 - 2/5 = 3/5)
If she spends 4/9 of this [tex]\frac{3}{5}x[/tex], this means she spent [tex]\frac{4}{9}(\frac{3}{5})x=\frac{12}{45}[/tex] on a pair of shoes.
- To know how much she has left we are going to subtract these amounts to the total:
[tex]x-\frac{2}{5}x-\frac{12}{45}x\\ =\frac{45x-18x-12x}{45} \\=\frac{15x}{45} \\=\frac{1}{3}x[/tex]
Therefore she has 1/3 of her money left.