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