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
Is the answer 1/3?
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
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.