Final answer:
To evaluate and simplify the complex fraction 6/(-7/3)/11, we use the order of operations and the reciprocal of fractions.
Step-by-step explanation:
To evaluate and simplify the complex fraction 6/(-7/3)/11, we need to follow the order of operations which is known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
First, let's simplify the expression inside the parentheses by multiplying 6 by the reciprocal of -7/3 (which is -3/7): 6 * (-3/7) = -18/7.
Now, we have -18/7 divided by 11. To divide fractions, we multiply by the reciprocal of the divisor. In this case, we multiply -18/7 by 1/11: (-18/7) * (1/11) = -18/77.
Therefore, the simplified value of the complex fraction 6/(-7/3)/11 is -18/77.
Learn more about Simplifying Complex Fractions