Question

in the voting for city council precinct only 1/2 of all eligible voters cast votes wat fraction of all eligible voters voted for shelley ? morgan if shelley has 3/10 of the fracion and morgan has5/8 the fraction of the votes recieved who received the most votes

Answer 1

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 = 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 $\frac{3}{10}$ 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.

Answer 2

Morgan has the most votes