Question

Express 0.036 bar on 6 in p and q form (:

Answer 1

`(11)/(300)`

Explanation:

the bar on 6 indicates that 6 is repeated

we require 2 equations with the repeated digit placed after the decimal point.

let x = 0.03666..

multiply both sides by 100 and 1000 to obtain 2 equations.

100x = 3.666.. → (1)

1000x = 36.666.. → (2)

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

900x = 33 ( divide both sides by 900 )

x =
`(33)/(900)` =
`(11)/(300)`