Question

rationalize 1.85555555......………

Answer 1

Solution ;

Let x = 1.855555.....---( 1 )

multiply ( 1 ) by 10 , we get

10x = 18.5555..... ----( 2 )

multiply equation ( 2 ) , by 10 , we get

100x = 185.5555.....----( 3 )

Subtracting equation ( 2 ) from ( 3 ),

we get

90x = 167

x = 167/90

Therefore ,

x = 1.85555..= 167/90 [ p/q form ]

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