Question

show that 1.27 recurring can be expressed in the form P by q where p and q are integers and q not equal to zero

Answer 1

x=1.27272727...
100x=127.2727
100x-x=127.27-1.2727
99x=126.00
x=126/99
therefore,x=14/11 (lowest form)

Answer 2

Hi ,

let x = 1.272727...---( 1 )


multiply ( 1 ) with 100 we get,

100x = 127.272727...----( 2 )

subtract ( 1 ) from ( 2 ), we get

99x = 126

x = 126/99

x = 14 / 11

therefore,

x = 1.2727... = 14 / 11

I hope this helps you.

:)