Question

Write 0.131313 as a fraction

Answer 1

`(13)/(99)`

Explanation:

We require to create 2 equations with the repeating numbers after the decimal point.

let x = 0.1313.... → (1) ( multiply both sides by 100 )

100x = 13.1313.... → (2)

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

99x = 13 ( divide both sides by 99 )

x =
`(13)/(99)`

That is 0.1313.... =
`(13)/(99)`