Question

How do you convert 0.19 (19 repeating) to a fraction?

Answer 1

`0.1919191919.........=19/99`

Explanation:

Let `x=0.1919191919.........`,

then `100x=19.1919191919.....`

subtracting former from latter we get

`99x=19`

or `x=19/99`

Hence `0.1919191919.........=19/99`