To divide fractions, invert the second fraction and then multiply:

\( \frac{2}{5} \) ÷ \( \frac{4}{5} \) = \( \frac{2}{5} \) x \( \frac{5}{4} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{2}{5} \) x \( \frac{5}{4} \) = \( \frac{2 x 5}{5 x 4} \) = \( \frac{10}{20} \) = \(\frac{1}{2}\)

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

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.

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{8 + 6 + 8 + 6}{4} \) = \( \frac{28}{4} \) = 7

Diane scored 82% on the test meaning she earned 82% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.82 = 98 points. Each question is worth 2 points so she got \( \frac{98}{2} \) = 49 questions right.