To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40]. The first few multiples they share are [4, 8, 12, 16, 20] making 4 the smallest multiple 2 and 4 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{2 x 2}{2 x 2} \) + \( \frac{5 x 1}{4 x 1} \)

\( \frac{4}{4} \) + \( \frac{5}{4} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{4 + 5}{4} \) = \( \frac{9}{4} \) = 2\(\frac{1}{4}\)

To subtract these radicals together their radicands must be the same:

5\( \sqrt{48} \) - 7\( \sqrt{3} \)
5\( \sqrt{16 \times 3} \) - 7\( \sqrt{3} \)
5\( \sqrt{4^2 \times 3} \) - 7\( \sqrt{3} \)
(5)(4)\( \sqrt{3} \) - 7\( \sqrt{3} \)
20\( \sqrt{3} \) - 7\( \sqrt{3} \)

Now that the radicands are identical, you can subtract them:

The greatest common factor (GCF) is the greatest factor that divides two integers.

The factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72] and the factors of 68 are [1, 2, 4, 17, 34, 68]. They share 3 factors [1, 2, 4] making 4 the greatest factor 72 and 68 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.