Question

How do you convert 3.16 (6 repeating) to a fraction?

Answer 1

`19/6` or (as a mixed number) `3 1/6`

Explanation:

If `x=3.166bar(6)`

then `10x=31.66bar(6)`

and `9x=10x-x`
`color(white)("XXX")=31.66bar(6)-3.166bar(6)`
`color(white)("XXX") =28.5`

`x=28.5/9=285/90=19/6=3 1/6`