Final answer:
The reciprocal of 11/12 is 12/11, which means option a) 12/11 is the correct answer. This is found by simply inverting the given fraction.
Step-by-step explanation:
The reciprocal of a number is created by inverting the numerator and denominator of the fraction representing the number. For the fraction 11/12, the reciprocal would therefore involve switching 11 and 12, making the numerator become the denominator and vice versa.
The reciprocal of 11/12 is therefore 12/11. This means that option a) 12/11 is the correct answer. This reciprocal tells us that if we multiply 11/12 by 12/11, the result is 1, demonstrating a fundamental property of reciprocals.