Question

2 pumpkin fields = 3 2/5 acresthe big field 3 2/5 tons of pumpkinsthe small 2 1/12 tons of pumpkinwhat is total yield of pumpkins?

Answer 1

To find the total yield of pumpkins in the two fields you must add the the 2 mixed numbers of the smaller yields.

`3(2)/(5)+2(1)/(12)`

convert the mixed numbers into fractions by mutiplying the denominator with the whole number and adding the numerator, to find the numerator. the denominator stays the same

`3(2)/(5)=((3\cdot5)+2)/(5)=(17)/(5)`
`2(1)/(12)=((12\cdot2)+1)/(12)=(25)/(12)`

add both fractions together

`(17)/(5)+(25)/(12)=(17\cdot12+25\cdot5)/(12\cdot5)=(204+125)/(60)=(329)/(60)`

convert into a mixed number

`(329)/(60)=5(29)/(60)`

The total yield of pumpkins is

`5(29)/(60)\text{tons of pumpkin}`