A rancher planned to fence 6 1/2 acres of land to grow some experimental grasses. After he had finished fencing 4 3/4 acres of the land, it started snowing. How many acres of the land remained to be fenced?
Group of answer choices
1 1/2 acres
1 3/4 acres
1 2/3 acres
11 1/4 acres
To find the remaining land to be fenced, we need to subtract the area of the land that has already been fenced from the total area of the land.
The total area of the land is 6 1/2 acres.
The area of the land that has already been fenced is 4 3/4 acres.
To subtract these two amounts, we can convert both to the same denominator.
6 1/2 = 13/2
4 3/4 = 19/4
Now, let's subtract:
13/2 - 19/4
To subtract fractions with different denominators, we need to find a common denominator. The least common multiple of 2 and 4 is 4.
Multiplying the numerator and denominator of the first fraction by 2:
(13/2) * (2/2) = 26/4
Now, we can subtract:
26/4 - 19/4 = (26 - 19)/4 = 7/4
Therefore, 7/4 acres of the land remained to be fenced.
However, none of the given answer choices match this result. Please check the options and try again.