Final answer:
The least common denominator of 7/6 and 1/9 is 18.
Step-by-step explanation:
The least common denominator of fractions is found by determining the smallest number that both denominators can evenly divide into. To find the least common denominator of 7/6 and 1/9, we need to find the smallest number that both 6 and 9 can divide into evenly.
Factors of 6: 1, 2, 3, 6
Factors of 9: 1, 3, 9
The least common multiple of 6 and 9 is 18, so the least common denominator of 7/6 and 1/9 is 18.