Question

Write the decimal as a fraction. 0.17 = Simplify your answer completely.​

Answer 1

`(17)/(99)`

Explanation:

the bar over 17 indicates that 17 is repeated, that is

0.1717...

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

let x = 0.1717.... (1) ← multiply both sides by 100

100x = 17.1717... (2)

subtract (1) from (2) thus eliminating the repeating digits

99x = 17 ( divide both sides by 99 )

x =
`(17)/(99)`