Question

1.32 repeating as a fraction​

Answer 1

`(131)/(99)`

Explanation:

Let

`x=1.323232...`

Multiply x by a power of
`10`, one that keeps the decimal part of the number the same:

`100x=132.3232..`

Subtract
`x` from
`\\100x`

`100x-x=132.3232...-1.3232...=131`

The repeating decimals should cancel out

`\\99x=131`

solve for x

Divide by
`99` both sides

`x=(131)/(99)`