Question

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

Answer 1

We are given the results of an election:

Candidate Fraction of votes

Johnson = $\frac{1}{9}$

Smith  = $\frac{7}{18}$

Dragovic = $\frac{1}{2}$

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

Therefore, difference is :

$\frac{1}{2} - \frac{1}{9}$

Taking common denominator of 2 and 9 is 18.

$=\frac{1\times9}{2\times 9} - \frac{1\times 2}{9\times 2}$

$=\frac{9}{18} - \frac{2}{18}$

$=\frac{9-2}{18}$

$=\frac{7}{18}$

Therefore, the difference between the fractions of votes received by Dragovic and Johnson is $\frac{7}{18}$.