Answer:
Part 1
\(\frac{3}{20}\) of eligible voters voted for Shelley.
\(\frac{5}{16}\) of eligible voters voted for Morgan.
Part 2
Morgan received the most of votes.
Step-by-step explanation:
Only \(\frac{1}{2}\) of all eligible voters cast votes.
Shelley has \(\frac{3}{10}\)
Morgan has \(\frac{5}{8}\)
Part 1:
To find the fraction of all eligible voters voted for Shelley, we need to multiply the fractions \(\frac{3}{10}\) and \(\frac{1}{2}\)
\(\frac{3}{10} *\frac{1}{2} = \frac{3}{20}\)
We got the answer by multiplying the numerators and the denominators.
So, \(\frac{3}{20}\) of eligible voters voted for Shelley.
Morgan
To find the fraction of all eligible voters voted for Morgan, we need to multiply the fraction \(\frac{5}{8}\) and \(\frac{1}{2}\)
\(\frac{5}{8} *\frac{1}{2} = \frac{5}{16}\)
So, \(\frac{5}{16}\) of eligible voters voted for Morgan.
Part 2:
To find who received most votes, we have compare the fractions of vote.
To find the most received votes, we need to make fractions a like fractions by finding LCD of the fractions.
Shelley has \(\frac{3}{10}\)
Morgan has \(\frac{5}{8}\)
Now find the Least Common Divisor (LCD) of 10 and 8.
Let's factor 10 and 8
10 = 25
8 = 222
LCD of 10 and 8 = 2225 = 40
Using the LCD, let's find the like fractions of \(\frac{3}{10}\) and \(\frac{5}{8}\)
Shelley = \(\frac{3}{10} *\frac{4}{4} = \frac{12}{40}\)
Morgan = \(\frac{5}{8} *\frac{5}{5} = \frac{25}{40}\)
Now the denominator of the fractions are the same. Now let's compare the numerators and find the greatest.
25 > 12
So Morgan received the most of votes.
