Final answer:
The expression (11/9) / (1/11) equals to 121/9. This is obtained by multiplying (11/9) by the reciprocal of (1/11) which is 11/1.
Step-by-step explanation:
This question involves the concept of division of fractions. To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is the fraction flipped, so the reciprocal of (1/11) is 11/1. Therefore, if we wanted to evaluate the expression (11/9) / (1/11), we would multiply (11/9) by the reciprocal (11/1), which equals 121/9. This fraction in simplest form remains 121/9 because there are no common factors between 121 and 9 other than 1, making it completely reduced.
Learn more about Division of Fractions