To add the fractions and the mixed numbers together, we need to find a common denominator.
1/3 + 1/8 + (-2 1/3 + 3 7/8) - 6 11/12
First, let's convert the mixed numbers to improper fractions:
-2 1/3 = -7/33 7/8 = 31/8
Now, find a common denominator for the fractions and mixed numbers:
1/3 = 8/241/8 = 3/24-7/3 = -56/2431/8 = 155/24
Therefore, the expression becomes:
8/24 + 3/24 + (-56/24 + 155/24) - 6 11/12
Combined:
11/24 + 99/24 - 6 11/12
Now, combine:
11/24 + 99/24 = 110/24 = 55/12
So, the final result is:
-6 11/12 + 55/12
To subtract the fractions, we need to find a common denominator, which is 12:
-6 11/12 = -6 * 12 + 11 = -72 + 11 = -61
Therefore, the final solution is:
-61 + 55/12 = -61 + 4 7/12 = -57 7/12
To add the fractions and the mixed numbers together, we need to find a common denominator.
1/3 + 1/8 + (-2 1/3 + 3 7/8) - 6 11/12
First, let's convert the mixed numbers to improper fractions:
-2 1/3 = -7/3
3 7/8 = 31/8
Now, find a common denominator for the fractions and mixed numbers:
1/3 = 8/24
1/8 = 3/24
-7/3 = -56/24
31/8 = 155/24
Therefore, the expression becomes:
8/24 + 3/24 + (-56/24 + 155/24) - 6 11/12
Combined:
11/24 + 99/24 - 6 11/12
Now, combine:
11/24 + 99/24 = 110/24 = 55/12
So, the final result is:
-6 11/12 + 55/12
To subtract the fractions, we need to find a common denominator, which is 12:
-6 11/12 = -6 * 12 + 11 = -72 + 11 = -61
Therefore, the final solution is:
-61 + 55/12 = -61 + 4 7/12 = -57 7/12