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Q-1 Express the following decimal In p/q form? (With full explanation)
1 it is given in the Attachment
Irrelevant answer would be reported
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Answer:
47/99
Let x=0.4747....
The periodicity of the decimal is 2, therefore, multiply x by 100 as shown below:
100×x=100×0.4747....
⇒100x=47.474747....
Now, we find the value of x in the form of fraction as shown below:
100x−x=(47.474747....)−(0.4747....)
⇒99x=47
⇒x= 47/99
Hence, 0.4747....= 47/99
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