Question:If we multiply a fraction by otself and divide the product by its reciprocal the fraction thus obtained is `18 26/27`.The original fraction is : 

A `8/27` 
B `2 2/3` 
C `1 1/3` 
D None of these 

+ Answer
B 

+ Explanation
Let fraction be,`a/b`.Then,

`(a/b xx a/b) ÷ b/a`

`= 512/27`

or ` a/b xx a/b xx a/b`

`= 512/27`.

`:. (a/b)^3 = (8/3)^3`

or ` a/b = 8/3`

or` a/b = 2 2/3`.

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Irin Moni

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