Question

The results of an election are shown in the table below.

Candidate Fraction of votes
Johnson \dfrac{1}{9}
9
1
​ start fraction, 1, divided by, 9, end fraction
Smith \dfrac{7}{18}
18
7
​ start fraction, 7, divided by, 18, end fraction
Dragovic \dfrac{1}{2}
2
1
​ start fraction, 1, divided by, 2, end fraction
What is the difference between the fractions of votes received by Dragovic and Johnson

Answer 1

We are given the results of an election:

Candidate Fraction of votes

Johnson =
`(1)/(9)`

Smith =
`(7)/(18)`

Dragovic =
`(1)/(2)`

Now, we need to find the difference between the fractions of votes received by Dragovic and Johnson.

Therefore, difference is :

`(1)/(2) - (1)/(9)`

Taking common denominator of 2 and 9 is 18.

`=(1*9)/(2* 9) - (1* 2)/(9* 2)`

`=(9)/(18) - (2)/(18)`

`=(9-2)/(18)`

`=(7)/(18)`

Therefore, the difference between the fractions of votes received by Dragovic and Johnson is
`(7)/(18)`.