Question

Felipe planted some seeds for a science project. One of his plants grew 6 2/7 inches in the first week, and then it grew 5 11/14 inches during the second week. How much did the plant grow during these two weeks? The answer should be written as a proper mixed number and should be simplified, if possible.

Answer 1

The plant grew
`12(1)/(14)` inches

Explanation:

Operations with Fractions

Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.

We are required to find the total growth during the two weeks. We have to find the sum of:

`6(2)/(7)+5(11)/(14)`

Let's convert both fractions to improper form:

`6(2)/(7)+5(11)/(14)=6+(2)/(7)+5+(11)/(14)`

Adding the integers:

`6(2)/(7)+5(11)/(14)=11+(2)/(7)+(11)/(14)`

Now we find the LCM of 7 and 14 is 14, thus:

`6(2)/(7)+5(11)/(14)=11+(4)/(14)+(11)/(14)`

`6(2)/(7)+5(11)/(14)=11+(15)/(14)=11+(14+1)/(14)`

`6(2)/(7)+5(11)/(14)=11+1+(1)/(14)`

`6(2)/(7)+5(11)/(14)=12+(1)/(14)`

Rewriting as a mixed number:

The plant grew
`12(1)/(14)` inches