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

\( \frac{2}{9} \) x \( \frac{2}{6} \) = \( \frac{2 x 2}{9 x 6} \) = \( \frac{4}{54} \) = \(\frac{2}{27}\)

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $1,100
i = 0.06 x $1,100

No payments were made so the total amount due is the original amount + the accumulated interest:

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{18 + 10 + 17 + 11}{4} \) = \( \frac{56}{4} \) = 14

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 11 are [11, 22, 33, 44, 55, 66, 77, 88, 99]. The first few multiples they share are [33, 66, 99] making 33 the smallest multiple 3 and 11 share.

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

\( \frac{7 x 11}{3 x 11} \) - \( \frac{3 x 3}{11 x 3} \)

\( \frac{77}{33} \) - \( \frac{9}{33} \)

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

\( \frac{77 - 9}{33} \) = \( \frac{68}{33} \) = 2\(\frac{2}{33}\)

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

5\( \sqrt{28} \) + 6\( \sqrt{7} \)
5\( \sqrt{4 \times 7} \) + 6\( \sqrt{7} \)
5\( \sqrt{2^2 \times 7} \) + 6\( \sqrt{7} \)
(5)(2)\( \sqrt{7} \) + 6\( \sqrt{7} \)
10\( \sqrt{7} \) + 6\( \sqrt{7} \)

Now that the radicands are identical, you can add them together: