Question

How do you convert 0.49 (49 repeating) as a fraction?

Answer 1

`0.49bar(49)=49/99`

Explanation:

Let
`color(white)("XXX")x=0.49bar(49)`
then
`color(white)("XXX")100x=49.49bar(49)`

and
`color(white)("XXX")99x=100x-x=49`

`color(white)("XXX")x=49/99`