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Question

How do you write 0.888... (8 repeating) as a fraction?


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Solution

Converting the given decimal to fraction:

Consider, x=0.8(i).

Multiplying x by 10; we get,

10x=8.8(ii)

Subtracting x from 10x:

10x-x=8.8-0.8¯9x=8x=89

Therefore, the fraction form of the given decimal, 0.8=89.


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