Final answer:
The reciprocal of 11/12 is 12/11, which is obtained by swapping the numerator with the denominator of the original fraction.
Step-by-step explanation:
The reciprocal of a fraction is found by switching the numerator and the denominator of the fraction. When we apply this to the fraction 11/12, the reciprocal is simply the inverse of this fraction. Therefore, the reciprocal of 11/12 is 12/11 in fraction form.
Understanding reciprocals is essential in mathematics as it is often used in division and multiplication problems. For instance, when dividing by a fraction, it is equivalent to multiplying by its reciprocal. This concept is rooted in the fact that multiplication and division are inverse operations of each other.