A 10-foot fence was set 2 5/6 foot into the ground. What is the exact length of the fence above ground?
10 = 9 6/6
9 6/6 - 2 5/6 = ?
7 1/6
A 10-foot fence was set 2 5/6 feet into the ground. What is the exact length of the fence above ground?
To find the exact length of the fence above the ground, we need to subtract the depth of the fence that is set into the ground from the total length of the fence.
Given that the fence is 10 feet long and it is set 2 5/6 feet into the ground, we first need to convert the mixed number 2 5/6 to an improper fraction.
To do that, we multiply the whole number (2) by the denominator of the fraction (6), which gives us 12. Then we add the numerator (5) to the result (12 + 5 = 17). So, the improper fraction equivalent of 2 5/6 is 17/6.
Now, we subtract the depth of the fence set into the ground (17/6 feet) from the total length of the fence (10 feet). When subtracting fractions, we need a common denominator, which in this case is 6.
10 - 17/6 = (10 * 6)/6 - 17/6 = 60/6 - 17/6 = 43/6.
Therefore, the exact length of the fence above the ground is 43/6 feet.