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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{96}{13} \) = 7\(\frac{5}{13}\)

So, it will take 7 full vans and one partially full van to transport the entire team making a total of 8 vans.

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

\( \frac{4}{8} \) ÷ \( \frac{2}{9} \) = \( \frac{4}{8} \) x \( \frac{9}{2} \)

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

\( \frac{4}{8} \) x \( \frac{9}{2} \) = \( \frac{4 x 9}{8 x 2} \) = \( \frac{36}{16} \) = 2\(\frac{1}{4}\)

The greatest common factor (GCF) is the greatest factor that divides two integers.