Question

What is the rational number equivalent to 1 point 28 with a bar over 28

Answer 1

we write the decimal number as 1.282828... where the dots are indicating recurring decimals

let
`x=1.282828...`
and
`100x=128.282828...`

we choose to multiply
`x` by 100 in order to obtain a number that gives us same values after the decimal point


`100x-x=128.282828...-1.282828...`

`99x=127`

by subtracting
`x` from
`100x`, we have an integer 127

rearranging to make
`x` the subject


`99x=127`

`x= (127)/(99)` is the rational number for 1.282828...