express 0.159 where 9 is bar in p/q form
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Answered by
35
Solution :
Let x = 0.15999...----( 1)
Multiply ( 1 ) by 100 , we get
=> 100x = 15.999....----( 2 )
multiply ( 2 ) by 10 , we get
=> 1000x = 159.999...--( 3 )
Subtract (2) from ( 3 ) , we
get
900x = 144
=> x = 144/900
=> x = 16/100
=> x = 4/25
Therefore ,
x = 0.15999... = 4/25
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7
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