-4 2/3 - 7 3/4
To simplify the expression, we need to find a common denominator for the fractions. The smallest common denominator is the least common multiple of 3 and 4, which is 12.
Therefore:
-4 2/3 = -4 + (2/3 * 4/4) = -4 + 8/12 = -32/12
-7 3/4 = -7 + (3/4 * 3/3) = -7 + 9/12 = -53/12
Now we can simply subtract the numerators:
-32/12 - 53/12 = -85/12
So the simplified form of the expression is -85/12.