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 $1,200
i = 0.08 x $1,200
i = $96

To subtract 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 subtract them:

\( \frac{4 - 5}{4} \) = \( \frac{-1}{4} \) = -\(\frac{1}{4}\)

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 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 share.

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

\( \frac{8 x 3}{2 x 3} \) + \( \frac{5 x 1}{6 x 1} \)

\( \frac{24}{6} \) + \( \frac{5}{6} \)

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

\( \frac{24 + 5}{6} \) = \( \frac{29}{6} \) = 4\(\frac{5}{6}\)

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

\( \frac{2}{5} \) x \( \frac{4}{9} \) = \( \frac{2 x 4}{5 x 9} \) = \( \frac{8}{45} \) = \(\frac{8}{45}\)

The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.