A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{5!}{3!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} \)
\( \frac{5 \times 4}{1} \)
\( 5 \times 4 \)
20

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 70mph \times 4h \)
280 miles

If 66% of the town's 15,000 voters cast ballots the number of votes cast is:

(\( \frac{66}{100} \)) x 15,000 = \( \frac{990,000}{100} \) = 9,900

The mayor got 67% of the votes cast which is:

(\( \frac{67}{100} \)) x 9,900 = \( \frac{663,300}{100} \) = 6,633 votes.