Question

Express 18.484848....... in the p/q form.

Answer 1

x = 18.48484848....
100 x = 1848.48484848...

100 x - x = 1830

x = 1830/ 99 = 610/33

Answer 2

Hi ,

Let x = 18.4848.....------( 1 )

multiply equation ( 1 ) with 100 , we get

100x = 1848.4848....----( 2 )

subtract equation ( 1 ) from equation ( 2 ) ,

we get

99x = 1830

x = 1830/99

x = 610/33

Therefore ,

x = 18.4848... = 610/33 [ p/q form ]

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