You have 6 out of the total of 150 raffle tickets sold so you have a (\( \frac{6}{150} \)) x 100 = \( \frac{6 \times 100}{150} \) = \( \frac{600}{150} \) = 4% chance to win the raffle.

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

\( \frac{35\sqrt{42}}{5\sqrt{6}} \)
\( \frac{35}{5} \) \( \sqrt{\frac{42}{6}} \)
7 \( \sqrt{7} \)

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

\( \frac{3}{5} \) x \( \frac{1}{9} \) = \( \frac{3 x 1}{5 x 9} \) = \( \frac{3}{45} \) = \(\frac{1}{15}\)

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-b^7}{4b^3} \)
\( \frac{-1}{4} \) b^{(7 - 3)}
-\(\frac{1}{4}\)b⁴

To simplify a radical, factor out the perfect squares:

\( \sqrt{48} \)
\( \sqrt{16 \times 3} \)
\( \sqrt{4^2 \times 3} \)
4\( \sqrt{3} \)