Question

What is 0.8616161616161.... (61 recurring) as a fraction? (and how exactly do you figure it out)

Answer 1

`x=0.8616161\ldots=0.8\overline{61}`

`10x=8.\overline{61}`

`1000x=861.\overline{61}`


`1000x-10x=861.\overline{61}-8.\overline{61}`

`990x=853`

`x=(853)/(990)`