Final answer:
The sum of 14/6 and 18/9 when expressed in lowest terms is 13/3. This fraction is obtained by simplifying 18/9 to 2/1 and then finding the common denominator with 14/6 before adding the fractions and simplifying.
Step-by-step explanation:
The question asks for the sum of the fractions 14/6 and 18/9, and to express that sum in its lowest terms. First, to add fractions, one needs to have a common denominator. However, in this case, 18/9 can be simplified to 2/1 since 9 divides evenly into 18 two times. So now the problem is 14/6 + 2/1. Since the denominators are not the same, we'll need to find a common denominator or convert the whole number to a fraction with the denominator of 6. The fraction 2/1 can be expressed as 12/6, which gives us 14/6 + 12/6. Adding these fractions we get 26/6. Now we simplify this fraction by finding the greatest common factor, which is 2, and dividing both the numerator and the denominator by 2 to get 13/3. This is the fraction in its lowest terms. So the correct choice is not listed among the options you provided.