Let \( V \) be the total number of votes. The first person receives \( \frac{1}{3}V \) of the votes, and the second person receives \( \frac{2}{15}V \) of the votes.
To find the total votes received by these two people, we can add their respective shares together:
\[ \text{Total votes for two people} = \frac{1}{3}V + \frac{2}{15}V \]
To perform this addition, we need a common denominator. The least common multiple of 3 and 15 is 15. We can convert \( \frac{1}{3} \) to a fraction with a denominator of 15:
\[ \frac{1}{3} = \frac{5}{15} \]
Now we can add the two fractions:
\[ \text{Total votes for two people} = \frac{5}{15}V + \frac{2}{15}V = \frac{5 + 2}{15}V = \frac{7}{15}V \]
Thus, the total votes for the two people is \( \frac{7}{15}V \), or in other words, they collectively receive \( \frac{7}{15} \) of the total votes.
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