Question

Add the following. Write the answer in its simplest form. show your solutions.
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Answer 1

Given:

The expressions are:

6.
`(1)/(4)+(2)/(4)=`

7.
`(1)/(2)+(7)/(10)=`

8.
`4(9)/(11)+7(4)/(11)=`

9.
`2(1)/(4)+2(3)/(4)=`

10.
`2(1)/(2)+3(2)/(4)=`

To find:

The simplified form after addition.

Solution:

6. We have,

`(1)/(4)+(2)/(4)=(1+2)/(4)`

`(1)/(4)+(2)/(4)=(3)/(4)`

7. We have,

`(1)/(2)+(7)/(10)=(5+7)/(10)`

`(1)/(2)+(7)/(10)=(12)/(10)`

`(1)/(2)+(7)/(10)=(6)/(5)`

8. We have,

`4(9)/(11)+7(4)/(11)=(53)/(11)+(81)/(11)`

`4(9)/(11)+7(4)/(11)=(53+81)/(11)`

`4(9)/(11)+7(4)/(11)=(134)/(11)`

9. We have,

`2(1)/(4)+2(3)/(4)=(9)/(4)+(11)/(4)`

`2(1)/(4)+2(3)/(4)=(9+11)/(4)`

`2(1)/(4)+2(3)/(4)=(20)/(4)`

`2(1)/(4)+2(3)/(4)=5`

10. We have,

`2(1)/(2)+3(2)/(4)=(5)/(2)+(14)/(4)`

`2(1)/(2)+3(2)/(4)=(10+14)/(4)`

`2(1)/(2)+3(2)/(4)=(24)/(4)`

`2(1)/(2)+3(2)/(4)=6`