Question

How do you use multiplying by 1 to find an expression equivalent to `20/11` with a denominator of 11x?

Answer 1

To maintain equivalency you must multiply by `color(red)(x/x) = 1`

Explanation:

First, we need to use our understanding that:

`color(red)(a/a) = 1` where `color(red)(a)` can be any term besides `0` (you cannot divide by `0`).

Next to transform the denominator from `11` to `11x` we must multiply `11` by `x`. However, to keep equivalency we need to multiply this fraction by 1 or by, in this case:

`color(red)(x/x)`

`20/11 xx color(red)(x/x) = (20 xx color(red)(x))/(11 xx color(red)(x)) = (20color(red)(x))/(11color(red)(x))`