You have 36 out of the total of 450 raffle tickets sold so you have a (\( \frac{36}{450} \)) x 100 = \( \frac{36 \times 100}{450} \) = \( \frac{3600}{450} \) = 8% chance to win the raffle.

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

(\( \frac{24}{8} \) - \( \frac{9}{8} \)) cups
\( \frac{15}{8} \) cups
1\(\frac{7}{8}\) cups

To multiply terms with radicals, multiply the coefficients and radicands separately:

5\( \sqrt{7} \) x 9\( \sqrt{4} \)
(5 x 9)\( \sqrt{7 \times 4} \)
45\( \sqrt{28} \)

Now we need to simplify the radical:

45\( \sqrt{28} \)
45\( \sqrt{7 \times 4} \)
45\( \sqrt{7 \times 2^2} \)
(45)(2)\( \sqrt{7} \)
90\( \sqrt{7} \)

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 divide fractions, invert the second fraction and then multiply:

\( \frac{2}{5} \) ÷ \( \frac{2}{6} \) = \( \frac{2}{5} \) x \( \frac{6}{2} \)

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

\( \frac{2}{5} \) x \( \frac{6}{2} \) = \( \frac{2 x 6}{5 x 2} \) = \( \frac{12}{10} \) = 1\(\frac{1}{5}\)