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""What is 14/6 + 18/9? Express your answer in lowest terms.

A) 33/18
B) 32/18
C) 32/7
D) 32/15
E) 32/18

Please select the fraction that represents the sum of 14/6 and 18/9 in its lowest terms.""

1 Answer

5 votes

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.

User KaramJaber
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