Express the following in the form p q , where p and q are integers and q ≠ 0 :
(i) 0.2
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Answer:
x= 0.23737....= 47/198
Explanation :
Let x = 0.2373737....----(1)
Multiply (1) by 10, we get
10x = 2.373737...----(2)
Multiply (2) by 100, we get
1000x = 237.373737...---(3)
Subtract (2) from (3) , we get
=> 990x = 235
=> x = 235/990
=> x = (5×47)/(5×198)
After cancellation, we get
=> x = 47/198 [ p/q form ]
Therefore,
x= 0.23737....= 47/198
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