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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

Respuesta :

We are given the results of an election:

Candidate Fraction of votes

Johnson = [tex]\frac{1}{9}[/tex]

Smith  = [tex]\frac{7}{18}[/tex]

Dragovic = [tex]\frac{1}{2}[/tex]

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

Therefore, difference is :

[tex]\frac{1}{2} - \frac{1}{9}[/tex]

Taking common denominator of 2 and 9 is 18.

[tex]=\frac{1\times9}{2\times 9} - \frac{1\times 2}{9\times 2}[/tex]

[tex]=\frac{9}{18} - \frac{2}{18}[/tex]

[tex]=\frac{9-2}{18}[/tex]

[tex]=\frac{7}{18}[/tex]

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

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