The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

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 add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-6y⁵ + 5y⁵
(-6 + 5)y⁵
-y⁵

There are 3 2-passenger taxis available so that's 3 x 2 = 6 total seats. There are 10 people needing transportation leaving 10 - 6 = 4 who will have to find other transportation.

By buying two shirts, Bob will save $20 x \( \frac{10}{100} \) = \( \frac{$20 x 10}{100} \) = \( \frac{$200}{100} \) = $2.00 on the second shirt.