There are three people running to be elected as the Town Clerk. If the first person gets 1/3 of the votes, and the second person gets 2/15 of the votes, what is the total votes for the two people?(1 point)
Responses
3/15
1/2
3/18
7/15
The first person gets 1/3 of the votes and the second person gets 2/15 of the votes. To find the total votes for the two people, we add these fractions together.
1/3 + 2/15 = 5/15 + 2/15 = 7/15
Therefore, the total votes for the two people is 7/15.
To find the total votes for the first and second person, we need to find a common denominator for 1/3 and 2/15. The least common multiple (LCM) of 3 and 15 is 15.
Converting 1/3 to a fraction with a denominator of 15:
1/3 * 5/5 = 5/15
Converting 2/15 to a fraction with a denominator of 15 (already in this form):
2/15
Now we can add the fractions together:
5/15 + 2/15 = 7/15
Therefore, the total votes for the first and second person is 7/15.
To find the total votes for the two people, we need to add up the fractions representing their votes.
The first person gets 1/3 of the votes.
The second person gets 2/15 of the votes.
To add these fractions, we need a common denominator. In this case, the least common multiple (LCM) of 3 and 15 is 15. We can convert the fractions to have a denominator of 15:
1/3 becomes 5/15 (by multiplying the numerator and denominator by 5)
2/15 remains the same.
Now we can add the fractions together:
5/15 + 2/15 = 7/15
Therefore, the total votes for the two people is 7/15.
So, the correct option is: 7/15.