Question

He has two pumpkin fields and the total area of the two pumpkin fields is 3 2/3 acres.The big field yield 3 2/5 tons of pumpkins and the small 2 1/12 ton of pumpkins. What is the total yield of pumpkins?

Answer 1

Idk man it’s a hard one

Answer 2

`5(29)/(60)`

Explanation:

First of all, the
`3(2)/(3)\text{ acres}` section does not apply to the calculations for the answer. It's just extraneous (irrelevant) data.

Second: work out process

1. We need to add the two fields' yield. Since both are in the same units (tons), we're going to just add them as is. So that'd be
   `3(2)/(5)+2(1)/(12)`
2. The denominators don't match! So we're going to have to convert the fraction parts to match. But we can add the whole numbers since they don't affect the denominator value:
   `(3+2)+((2)/(5)+(1)/(12))=5+((2)/(5)+(1)/(12))`
3. So now we have to find the LCD, least common denominator, for these two fractions. Which would be
   `5*12=60` here, so...

Third: fraction conversion

1. First part → 5 times 12 = 60, so the first fraction will be converted as
   `(2)/(5)*(12)/(12)=(2*12)/(5*12)=(24)/(60)`
2. Second part → 12 times 5 = 60, so the second fraction will now be converted as
   `(1)/(12)*(5)/(5)=(1*5)/(12*5)=(5)/(60)`
3. So now the complete form is:
   `5+((24)/(60)+(5)/(60))=5+(24+5)/(60)=5+(29)/(60)`

Your answer is:
`5(29)/(60)`