Question

If `A/B = 0.036363636...`, what is the value of `A + B`?

Answer 1

`A+ B = 57`

Explanation:

Let `10x = 0.bar36`. Then `1000x = 36.bar36`

Subtracting the two equations, we have:

`1000x = 36.bar36`
`-10x = 0.bar36`
`"-------------------------"`
`990x = 36`

`x = 36/990`

`x= 2/55`

Thus `A+ B = 2 + 55= 57`

Hopefully this helps!