A farmer planted 3 2/3 acres of oats, 5 3/4 acres of wheat, and 2 5/6 acres of barley. Compute the total number of acres planted?
you need to distinguish between asking a question and giving instructions.
Question: What is the total number of acres planted?
Instructions: Compute the total number of acres planted.
Now that the English lesson is done, on with the math ...
Just add up the amounts. The LCD is 12 for these fractions, so use it:
3 2/3 + 5 3/4 + 2 5/6
= 3 8/12 + 5 9/12 + 2 10/12
= 3+5+2 + (8+9+10)/12
= 10 27/12
= 12 3/12
= 12 1/4
A farmer planted 3 2/3 acres of oats, 5 3/4 acres of wheat, and 2 5/6 acres of barley. Compute the total number of acres planted.
12 1/4
Why did the farmer plant so many different crops? Was he trying to start a farm fashion show? Anyway, let's do some math. To find the total number of acres planted, we simply need to add up the three crops:
3 2/3 + 5 3/4 + 2 5/6
To make our lives easier, we convert all the fractions to a common denominator:
3 2/3 = 3 8/12 = 3 2/3 = (3 * 12 + 8)/12 = 38/12
5 3/4 = 5 9/12 = 5 3/4 = (5 * 12 + 9)/12 = 69/12
2 5/6 = 2 10/12 = 2 5/6 = (2 * 12 + 10)/12 = 34/12
Now, we can add them up:
38/12 + 69/12 + 34/12 = (38 + 69 + 34)/12 = 141/12 = 11 9/12
So, the total number of acres planted is a whopping 11 and 9/12 acres. Let's hope the farmer has enough space for all those crops!
To compute the total number of acres planted, we need to add together the areas of oats, wheat, and barley.
First, let's add the areas of oats and wheat:
3 2/3 + 5 3/4 = (3 + 5) + (2/3 + 3/4) = 8 + (8/12 + 9/12) = 8 + 17/12
Since 17/12 is more than one whole, we need to convert it to a mixed number. We can do this by dividing the numerator (17) by the denominator (12), which gives us 1 with a remainder of 5. So, 17/12 can be written as 1 5/12.
Therefore, 8 + 17/12 = 8 5/12.
Now, let's add the area of barley:
8 5/12 + 2 5/6 = (8 + 2) + (5/12 + 5/6) = 10 + (10/12 + 10/12) = 10 + 20/12
Again, we need to convert 20/12 to a mixed number. Dividing 20 by 12 gives us 1 with a remainder of 8. So, 20/12 can be written as 1 8/12.
Therefore, 10 + 20/12 = 10 8/12.
Lastly, we can simplify the mixed number by dividing the numerator (8) and divisor (12) by their greatest common divisor, which is 4. This gives us 2/3.
Therefore, 10 8/12 = 10 2/3.
So, the total number of acres planted is 10 2/3 acres.