There are three people running to be elected as the Town Clerk. If the first person gets 1/3

Question

of the votes, and the second person gets 2/15
of the votes, what is the total votes for the two people?
Responses

1/2

3/18

3/15

7/15

Answer 1

To find the total votes for the first and second person, we'll add their respective fractions of the total votes.

1. The first person gets \( \frac{1}{3} \) of the votes.
2. The second person gets \( \frac{2}{15} \) of the votes.

To add these fractions, we need a common denominator. The least common multiple (LCM) of 3 and 15 is 15.

Now we can convert \( \frac{1}{3} \) to a fraction with a denominator of 15:

\[ \frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15} \]

Now we can add the two fractions:

\[ \frac{5}{15} + \frac{2}{15} = \frac{5 + 2}{15} = \frac{7}{15} \]

So, the total votes for the two people is \( \frac{7}{15} \).

The correct response is:

7/15