Susan spent 2/5 of her money on clothes and 1/3 on pair of shoes what fraction of her money was left

2/5 + 1/3 = 6/15 + 5/15 = 11/15

that's how much she spent. So how much was left?

how do we get 6/15

To find out what fraction of Susan's money was left, we need to subtract the fractions representing the amounts she spent from 1, which represents the whole amount of money she had.

Step 1: We know that Susan spent 2/5 of her money on clothes. So the fraction representing the amount of money she spent on clothes is 2/5.

Step 2: We know that Susan spent 1/3 of her money on a pair of shoes. So the fraction representing the amount of money she spent on the shoes is 1/3.

Step 3: Now we add the fractions representing the amounts she spent: 2/5 + 1/3.

To add these fractions, we need to find a common denominator. The least common multiple of 5 and 3 is 15. So we can convert both fractions to have a denominator of 15.

Step 4: Now we convert 2/5 to have a denominator of 15. We multiply the numerator and denominator by 3 to get 6/15.

Step 5: Now we convert 1/3 to have a denominator of 15. We multiply the numerator and denominator by 5 to get 5/15.

Step 6: Now we can add the fractions: 6/15 + 5/15 = 11/15.

So, Susan spent a total of 11/15 of her money. To find out what fraction of her money was left, we subtract this amount from 1: 1 - 11/15.

Step 7: To subtract these fractions, we need to have a common denominator. Since we already have a denominator of 15, we can simply subtract the numerators: 15/15 - 11/15 = 4/15.

Therefore, 4/15 of her money was left.

To find out what fraction of Susan's money was left, we need to subtract the amount of money she spent on clothes and shoes from the total amount she had.

Let's assume that Susan had 1 unit of money (we can use any amount as long as we keep it consistent).

Susan spent 2/5 of her money on clothes, which means she spent (2/5) * 1 = 2/5 unit of money on clothes.

Susan also spent 1/3 of her money on a pair of shoes, which means she spent (1/3) * 1 = 1/3 unit of money on shoes.

Now let's calculate the remaining fraction of her money.

Total money spent = amount spent on clothes + amount spent on shoes

= 2/5 + 1/3

To add these fractions, we need to find the least common denominator (LCD), which is 15 in this case.

Converting 2/5 to fifteenths:

(2/5) * (3/3) = 6/15

Converting 1/3 to fifteenths:

(1/3) * (5/5) = 5/15

Adding the fractions:

6/15 + 5/15 = 11/15

Therefore, Susan has 11/15 of her money left.