To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 12 share.

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

\( \frac{2 x 3}{4 x 3} \) + \( \frac{4 x 1}{12 x 1} \)

\( \frac{6}{12} \) + \( \frac{4}{12} \)

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

\( \frac{6 + 4}{12} \) = \( \frac{10}{12} \) = \(\frac{5}{6}\)

The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24]. They share 3 factors [1, 2, 4] making 4 the greatest factor 28 and 24 have in common.

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 65mph \times 8h \)
520 miles

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

\( \frac{13 + 7 + 11 + 9}{4} \) = \( \frac{40}{4} \) = 10

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 $700
i = 0.05 x $700
i = $35