the value of 4 5 1 1 3 2 4, Simplification, General Mathematics

Question:The value of `4 - 5/`
                    `1 + 1/`
                     `3 + 1/`
                       `2 + 1/4` is :

A `40/31` 
B `4/9` 
C `1/8` 
D `31/40`

/94

+ AnswerC

+ ExplanationGiven Exp ,

`= 4 - 5/`
 `1 + 1/`
    `3 + 1/`
     `2 + 1/4`

`= 4 - 5/`
  `1 + 1/`
    `3 + 1/((9∕4))`


`= 4 - 5/`
     `1 + 1/`
     `3 + 4/9`

`= 4 - 5/`
    `1 + 1/((31/9))`

`= 4 - 5/`
   `1 + 9/31`

`= 4 - 5/((40∕31))`

`= (4 - (5 xx 31)/40)`

`= (4 - 31/8)`

`= 1/8`

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Question:The value of `4 - 5/` `1 + 1/` `3 + 1/` `2 + 1/4` is :

A `40/31`

B `4/9`

C `1/8`

D `31/40`

C