Carlisle has 7 and 1/2 acres of Farmland he uses 1/3 of acres to Grace animals and 1/5 of the acres to grow vegetables how many acres does Carlisle's used for grazing animals or for growing vegetables
From this word-salad devoid of any punctuation, I will conclude that
he used 1/3 of the the 15/2 acres for grazing, and 1/5 of the 15/2 acres for growing.
so he used (1/3)(15/2) + (1/5)(15/2)
= 15/6 + 15/10 acres for grazing animals or for growing
= 75/30 + 45/30
= 4 acres
To find out how many acres Carlisle uses for grazing animals or growing vegetables, we need to calculate the sum of the fractions representing the amounts of land used for each purpose.
First, let's find out how many acres Carlisle uses for grazing animals:
7 and 1/2 acres can also be written as 7 + 1/2 acres. Since Carlisle uses 1/3 of the total acres for grazing animals, we can calculate that as follows:
1/3 * (7 + 1/2) acres.
To calculate this, we first need to convert the mixed number (7 + 1/2) into an improper fraction. We can do this by multiplying the whole number (7) by the denominator of the fraction (2) and adding the numerator (1) to the result. This gives us:
(7 * 2 + 1) / 2 = 15/2.
Now we can substitute this fraction into the equation:
1/3 * 15/2 acres.
To multiply fractions, we multiply the numerators together and the denominators together:
(1 * 15) / (3 * 2) acres = 15/6 acres.
Simplifying the fraction, we get:
15/6 = 5/2 acres.
Next, let's calculate how many acres Carlisle uses for growing vegetables:
Again, using 7 and 1/2 acres, and knowing that Carlisle uses 1/5 of the total acres for growing vegetables, we can calculate it as:
1/5 * (7 + 1/2) acres.
Converting the mixed number to an improper fraction:
(7 * 2 + 1) / 2 = 15/2.
Substituting the fraction into the equation:
1/5 * 15/2 acres.
Multiplying the fractions:
(1 * 15) / (5 * 2) acres = 15/10 acres.
Simplifying the fraction:
15/10 = 3/2 acres.
Therefore, Carlisle uses a total of 5/2 acres for grazing animals and 3/2 acres for growing vegetables.