Rosa poured 1 3/4 quarts of grape juice into a container. She added 3 1/3 quarts of apple juice. She then poured 2 2/3 quarts of the mixed juice into a pitcher. How many quarts of mixed juice were left in the container?

Is the answer 1/3?

Thank you very much.

Tanka

So its 2 and 5 12ths

To find out how many quarts of mixed juice were left in the container, we need to calculate the total amount of juice in the container first and then subtract the amount poured into the pitcher.

First, let's add the amounts of grape juice and apple juice that Rosa poured into the container:

1 3/4 quarts + 3 1/3 quarts

To add fractions with different denominators, we need to find a common denominator. In this case, the common multiple of 4 and 3 is 12:

1 3/4 quarts = 7/4 quarts
3 1/3 quarts = 10/3 quarts

Now we can add the fractions:

7/4 quarts + 10/3 quarts

To add fractions, the denominators need to be the same. Let's find the common denominator of 4 and 3, which is 12:

7/4 quarts = 21/12 quarts
10/3 quarts = 40/12 quarts

Now we can add the fractions:

21/12 quarts + 40/12 quarts = 61/12 quarts

So, the total amount of mixed juice in the container is 61/12 quarts.

Now, let's find out how much mixed juice was poured into the pitcher:

2 2/3 quarts

Converting the mixed number to a fraction:

2 2/3 quarts = 8/3 quarts

Now, we need to subtract the amount poured into the pitcher from the total amount of mixed juice in the container:

61/12 quarts - 8/3 quarts

To subtract fractions, we need to have the same denominators. Let's convert 8/3 quarts to twelfths:

8/3 quarts = 32/12 quarts

Now we can subtract the fractions:

61/12 quarts - 32/12 quarts = 29/12 quarts

So, there are 29/12 quarts of mixed juice left in the container.

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 1:

29/12 quarts ÷ 1/1 = 29/12 quarts

Therefore, the answer is 29/12 quarts, which is approximately 2 5/12 quarts. So, the correct answer is not 1/3, but approximately 2 5/12 quarts.

1 3/4 = 1 9/12

3 1/3 = 3 4/12

1 9/12 + 3 4/12 = 4 13/12 = 5 1/12

4 13/12 - 2 8/12 = 2 5/12

I got it now- thanks Ms. Sue!

2 5/12