posts;6 3/4 feet in length post must be installed 1 1/2 feet below ground level what is the height

The height of the post above ground level is 6 3/4 - 1 1/2 = 5 1/4 feet.

To calculate the total height of the post, you need to add the above-ground height and the below-ground depth.

First, convert the length of the post into a proper fraction:
6 3/4 feet = (6 * 4 + 3) / 4 = (24 + 3) / 4 = 27 / 4 feet

Next, add the above-ground height to the below-ground depth:
27 / 4 feet + 1 1/2 feet

To add fractions, you need to have a common denominator. In this case, the denominators are already 4 and 2 respectively, so you can proceed to add the numerators:
27 / 4 + 3/2

To add these fractions, you need to find a common denominator, in this case, it is 4:
(27 * 2) / (4 * 2) + 3 / 2 = 54 / 8 + 3 / 2

Now, since the denominators are the same, you can simply add the numerators:
54 / 8 + 3 / 2 = 54 / 8 + 24 / 8 = (54 + 24) / 8 = 78 / 8

Finally, you can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
78 / 8 = (78 ÷ 2) / (8 ÷ 2) = 39 / 4

Therefore, the total height of the post is 39/4 feet or 9 3/4 feet.