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

\( \frac{4}{6} \) ÷ \( \frac{3}{7} \) = \( \frac{4}{6} \) x \( \frac{7}{3} \)

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

\( \frac{4}{6} \) x \( \frac{7}{3} \) = \( \frac{4 x 7}{6 x 3} \) = \( \frac{28}{18} \) = 1\(\frac{5}{9}\)

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.

The factors of 32 are [1, 2, 4, 8, 16, 32] and the factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 32 and 40 have in common.

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).

The amount of flour you need is (2\(\frac{1}{8}\) - \(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{17}{8} \) - \( \frac{6}{8} \)) cups
\( \frac{11}{8} \) cups
1\(\frac{3}{8}\) cups