the simplification of 1 2 1 2yields, Simplification, General Mathematics

Question:The simplification of `1/` 
                              `2 + 1/`
                              `2 + 1/`
                               `2 - 1/2`yields :

A `4/9` 
B `8/19` 
C `4/18` 
D `8/21`

/94

+ AnswerB

+ ExplanationGiven Exp ,

`= 1/`
 `2 + 1/`
`2 + 1/`
`2 - 1/2`

`= 1/`
`2 + 1/`
`2 + 1/((3∕2))`

`= 1/`
`2 + 1/`
`2 + 2/3`

`= 1/`
`2 + 1/((8∕3))`

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

`= 1/((19∕8))`

`= 8/19`

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Question:The simplification of `1/` `2 + 1/` `2 + 1/` `2 - 1/2`yields :

A `4/9`

B `8/19`

C `4/18`

D `8/21`

B