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

Morgan has the most votes

Answer 2

Part 1

`(3)/(20)` of eligible voters voted for Shelley.

`(5)/(16)` of eligible voters voted for Morgan.

Part 2

Morgan received the most of votes.

Explanation:

Only
`(1)/(2)` of all eligible voters cast votes.

Shelley has
`(3)/(10)`

Morgan has
`(5)/(8)`

Part 1:

To find the fraction of all eligible voters voted for Shelley, we need to multiply the fractions
`(3)/(10)` and
`(1)/(2)`

`(3)/(10) *(1)/(2) = (3)/(20)`

We got the answer by multiplying the numerators and the denominators.

So,
`(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
`(5)/(8)` and
`(1)/(2)`

`(5)/(8) *(1)/(2) = (5)/(16)`

So,
`(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
`(3)/(10)`

Morgan has
`(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
`(3)/(10)` and
`(5)/(8)`

Shelley =
`(3)/(10) *(4)/(4) = (12)/(40)`

Morgan =
`(5)/(8) *(5)/(5) = (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.