Answer:
n = 19/18
Explanation:
The equation 11/6=n+7/9 has fractions with two different denominators (6 and 9). The LCD is 18, which is the smallest number evenly divisible by 6 and 9. Thus, we can rewrite 11/6=n+7/9 as:
33/18 = (18/18)n + 14/18 (Now all three denominators are the same: 18)
Then 33 = 18n + 14, or
19 = 18n
Dividing both sides by 18, we get n = 19/18
Check: Is 11/6 = 19/18 + 7/9 true? YES