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 $\dfrac{3}{20}$ .

Morgan received the most votes .

Step-by-step explanation:

Given : The fraction of all eligible voters cast votes =$\dfrac{1}{2}$

The fraction of votes received by Shelly = $\dfrac{3}{10}$        (1)

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

$\dfrac{3}{10}\times\dfrac{1}{2}=\dfrac{3}{20}$

Thus, the fraction of all eligible voters voted for Shelly is $\dfrac{3}{20}$ .

The fraction of vote received by Morgan= $\dfrac{5}{8}$          (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 = $\dfrac{3\times4}{10\times4}=\dfrac{12}{40}$

Fraction of all eligible voters voted for Morgan =$\dfrac{5\times5}{8\times5}=\dfrac{25}{40}$

Since, $\dfrac{25}{40}>\dfrac{12}{40}$  [By comparing numerators]

Therefore, Morgan received the most votes .