In order to add these mixed fractions together, we first need to convert them to improper fractions.
-7 2/3 = (-7 * 3 + 2) / 3 = (-21 + 2) / 3 = -19/3
-5 1/2 = (-5 * 2 + 1) / 2 = (-10 + 1) / 2 = -9/2
8 2/4 = (8 * 4 + 2) / 4 = (32 + 2) / 4 = 34/4 = 17/2
Now we can add the fractions:
-19/3 + -9/2 + 17/2
To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple of 3 and 2 is 6.
-19/3 * 2/2 = -38/6
-9/2 * 3/3 = -27/6
Now we can add the fractions:
-38/6 + (-27/6) + 17/2
Combining the numerators:
(-38 - 27 + 51) / 6
Simplifying the numerator:
(-65 + 51) / 6 = -14/6 = -7/3
Therefore, -7 2/3 + (-5 1/2) + 8 2/4 is equal to -7/3
-7 2/3 + (-5 1/2) + 8 2/4 =
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