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

(\( \frac{19}{8} \) - \( \frac{6}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))². If the diameter of the logo increases by 55% the radius (and, consequently, the total area) increases by \( \frac{55\text{%}}{2} \) = 27\(\frac{1}{2}\)%

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

\( \frac{4}{6} \) x \( \frac{4}{5} \) = \( \frac{4 x 4}{6 x 5} \) = \( \frac{16}{30} \) = \(\frac{8}{15}\)

Christine scored 92% on the test meaning she earned 92% of the possible points on the test. There were 300 possible points on the test so she earned 300 x 0.92 = 276 points. Each question is worth 3 points so she got \( \frac{276}{3} \) = 92 questions right.

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.