Question

Write the repeating decimal as a fraction

Answer 1

`(41)/(99)`

Explanation:

We require 2 equations with the repeating digits placed after the decimal point.

let x = 0.4141.. → (1) Multiply both sides by 100

100x = 41.4141.. → (2)

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

99x = 41 ( divide both sides by 99 )

x =
`(41)/(99)`

That is 0.4141.... =
`(41)/(99)`