Question

Show that 1.2727... can b expressed in the form P/q where p and q are integers and q not equal to zero

Answer 1

`(126)/(99)`

Explanation:

assuming 1.2727... has 27 repeating then

create 2 equations with the repeated digits after the decimal point

let x = 1.2727.... → (1)

multiply both sides by 100

100x = 127.2727... → (2)

subtract (1) from (2) to eliminate the repeating part

99x = 126 ( divide both sides by 99 )

x =
`(126)/(99)`