Final answer:
To evaluate and simplify the complex fraction (6/-7) / (3/11), simplify each individual fraction, divide their numerators and denominators, and simplify the resulting fraction if possible.
Step-by-step explanation:
To evaluate and simplify a complex fraction, we need to follow a few steps:
- First, we can simplify each individual fraction separately.
- Then, we can divide the numerators and denominators of the fractions.
- Finally, we can simplify the resulting fraction, if possible.
So, for the given expression (6/-7) / (3/11):
- Simplify the numerator: 6 / -7 = -6/7
- Simplify the denominator: 3 / 11 = 3/11
- Divide the simplified fractions: (-6/7) / (3/11) = (-6/7) * (11/3) = -66/21
- Simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor: (-66/21) ÷ 3 = -22/7
Therefore, the simplified form of the given complex fraction is -22/7.