Fraction of All Eligible Voters That Voted for Shelly: 320 Fraction of All Eligible Voters That Voted for Morgan: 516 Received More Votes: Morgan
Practice makes perfect
We are told that for the City Council Precinct 5, only 12 of all eligible voters cast votes. Let's look at the given table with the votes received by the candidates.
Candidate
Fraction of Votes Received
Shelly
3/10
Morgan
5/8
We are asked to find the fractions of all votes received by each candidate and to determine who received more votes. Let's first determine who received more votes.
Who Received More Votes?
Notice that Morgan received more than half of the votes and Shelly received less than half of the votes.
Candidate
Fraction of Votes Received
More Than Half?
Shelly
3/10
No
Morgan
5/8
Yes
This means that Morgan received more votes than Shelly! Next, we will find the fractions of all eligible votes received, starting with Shelly.
Shelly's Fraction
Shelly received 310 of the 12 of eligible votes. Therefore, to find the fraction of all the eligible votes that Shelly received, we need to multiply these fractions.
3/10 of1/2votes =3/10 * 1/2votes
Let's do it! We will multiply the numerators and denominators.
We found that 320 of all the eligible voters voted for Shelly. Now let's calculate the fraction of potential votes that Morgan received.
Morgan's Fraction
We know that 58 of the 12 eligible voters voted for Morgan. Similarly to before, we can find the fraction of all the potential votes Morgan received by multiplying these fractions.
5/8 of1/2votes=5/8 * 1/2votes
Let's do it! We will again multiply the numerators and denominators.
