Respuesta :
Answer:
Part 1
[tex]\frac{3}{20}[/tex] of eligible voters voted for Shelley.
[tex]\frac{5}{16}[/tex] of eligible voters voted for Morgan.
Part 2
Morgan received the most of votes.
Step-by-step explanation:
Only [tex]\frac{1}{2}[/tex] of all eligible voters cast votes.
Shelley has [tex]\frac{3}{10}[/tex]
Morgan has [tex]\frac{5}{8}[/tex]
Part 1:
To find the fraction of all eligible voters voted for Shelley, we need to multiply the fractions [tex]\frac{3}{10}[/tex] and [tex]\frac{1}{2}[/tex]
[tex]\frac{3}{10} *\frac{1}{2} = \frac{3}{20}[/tex]
We got the answer by multiplying the numerators and the denominators.
So, [tex]\frac{3}{20}[/tex] of eligible voters voted for Shelley.
Morgan
To find the fraction of all eligible voters voted for Morgan, we need to multiply the fraction [tex]\frac{5}{8}[/tex] and [tex]\frac{1}{2}[/tex]
[tex]\frac{5}{8} *\frac{1}{2} = \frac{5}{16}[/tex]
So, [tex]\frac{5}{16}[/tex] 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 [tex]\frac{3}{10}[/tex]
Morgan has [tex]\frac{5}{8}[/tex]
Now find the Least Common Divisor (LCD) of 10 and 8.
Let's factor 10 and 8
10 = 2*5
8 = 2*2*2
LCD of 10 and 8 = 2*2*2*5 = 40
Using the LCD, let's find the like fractions of [tex]\frac{3}{10}[/tex] and [tex]\frac{5}{8}[/tex]
Shelley = [tex]\frac{3}{10} *\frac{4}{4} = \frac{12}{40}[/tex]
Morgan = [tex]\frac{5}{8} *\frac{5}{5} = \frac{25}{40}[/tex]
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.
