Question

In the voting for City Council Precinct 5, only 1/2 of all eligible voters cast votes. Shelley received 3/10 of the votes and Morgan received 5/8 of the votes. What fraction of all eligible voters voted for Shelly? Morgan? Who received the most votes?

Answer 1

Answer: Fraction of all eligible voters voted for Shelly is
`(3)/(20)` .

Morgan received the most votes .

Explanation:

Given : The fraction of all eligible voters cast votes =
`(1)/(2)`

The fraction of votes received by Shelly =
`(3)/(10)` (1)

Now, the fraction of all eligible voters voted for Shelly is given by :_

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

Thus, the fraction of all eligible voters voted for Shelly is
`(3)/(20)` .

The fraction of vote received by Morgan=
`(5)/(8)` (2)

To compare the fractions given in (1) and (2), we need to find least common multiple of 10 and 8 .

LCM (10, 8)=40

Now, make denominator 40 (to make equivalent fraction) in (1), (2) we get

Fraction of all eligible voters voted for Shelly =
`(3*4)/(10*4)=(12)/(40)`

Fraction of all eligible voters voted for Morgan =
`(5*5)/(8*5)=(25)/(40)`

Since,
`(25)/(40)>(12)/(40)` [By comparing numerators]

Therefore, Morgan received the most votes .