Question

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

Candidate	Fraction of votes
Richard	$\frac{17}{25}$
Charles	$\frac{2}{25}$

What is the difference between the fraction of votes received by Richard and Charles?

• A. $\frac{3}{5}$
• B. $\frac{2}{5}$
• C. $\frac{19}{25}$
• D. $\frac{25}{19}$

Answer 1

The correct option is A $\frac{3}{5}$

To find the difference in the fractions of votes, we need to subtract.

Fraction of votes received by Richard $=\frac{17}{25}$

Fraction of votes received by Charles$=\frac{2}{25}$

The difference in votes between Richard and Charles
$=\frac{17}{25}-\frac{2}{25}$

Step 1: Subtract the numerators, put that answer over the common denominator.

$=\frac{17-2}{25}$

$=\frac{15}{25}$

Step 2: Simplify the fraction.

$=\frac{3\times 5}{5\times 5}$

Cancel out the common factors, we get
$=\frac{3}{5}$

The difference in votes between Richard and Charles is $\frac{3}{5}.$