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

\( \frac{4}{6} \) ÷ \( \frac{3}{9} \) = \( \frac{4}{6} \) x \( \frac{9}{3} \)

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

\( \frac{4}{6} \) x \( \frac{9}{3} \) = \( \frac{4 x 9}{6 x 3} \) = \( \frac{36}{18} \) = 2

First, solve for \( \left|y - 2\right| \):

\( \left|y - 2\right| \) - 1 = -8
\( \left|y - 2\right| \) = -8 + 1
\( \left|y - 2\right| \) = -7

The value inside the absolute value brackets can be either positive or negative so (y - 2) must equal - 7 or --7 for \( \left|y - 2\right| \) to equal -7:

So, y = 9 or y = -5.

The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [35, 70] making 35 the smallest multiple 5 and 7 have in common.

You have 17 out of the total of 250 raffle tickets sold so you have a (\( \frac{17}{250} \)) x 100 = \( \frac{17 \times 100}{250} \) = \( \frac{1700}{250} \) = 7% chance to win the raffle.

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

\( \frac{1}{8} \) x \( \frac{3}{7} \) = \( \frac{1 x 3}{8 x 7} \) = \( \frac{3}{56} \) = \(\frac{3}{56}\)