Final answer:
To simplify negative 3 and 3 over 4 minus 7 and 1 over 3, convert mixed numbers to improper fractions and find a common denominator to subtract. The simplified expression is negative 133 over 12.
Step-by-step explanation:
To simplify the expression negative 3 and 3 over 4 minus 7 and 1 over 3,
first convert the mixed numbers to improper fractions.
Negative 3 and 3 over 4 is -3 - \(\frac{3}{4}\), which can be written as an improper fraction -\(\frac{15}{4}\) (since -3 \(\times\) 4 = -12, and -12 + 3 = -15).
Similarly, 7 and 1 over 3 is 7 + \(\frac{1}{3}\), which can be written as an improper fraction \(\frac{22}{3}\) (since 7 \(\times\) 3 = 21, and 21 + 1 = 22).
Now subtract the second fraction from the first: -\(\frac{15}{4}\) - \(\frac{22}{3}\). To do this, find a common denominator, which is 12 in this case, and rewrite the fractions: -\(\frac{45}{12}\) - \(\frac{88}{12}\).
Combining the numerators, we get -\(\frac{133}{12}\), which is the simplified form of the expression.
Therefore, the correct answer is negative 133 over 12.