Question

Write the recurring decimal 0.25 as a fraction

Answer 1

100x=25.252525
X= 0.25

Subtract the two:

99=25

25/99 is your fraction

Answer 2

`(25)/(99)`

Explanation:

We require two equations with the recurring part after the decimal point.

let x = 0.2525.... →(1) ← multiply both sides by 100

100x = 25.2525.... → (2)

Subtract (1) from (2) eliminating the recurring decimal, that is

99x = 25 ( divide both sides by 99 )

x =
`(25)/(99)`