Question

How do you simplify `(r+6)/(6+r)`?

Answer 1

`(r+6)/(6+r)=1`

Explanation:

addition is commutative, so :
`r+6=6+r`, and trivially you have `(r+6)/(6+r)=1`

Answer 2

`1`

Explanation:

Think about it: `r+ 6 = 6 + r`

Therefore, the numerator and the denominator can cancel each other out to have a total value of `1`.

Answer 3

See explanation.

Explanation:

Since rhe result of addition does not depend on the order of operands we can write that:

`r+6=6+r`

Knowing that we can write that:

`(r+6)/(6+r)=(r+6)/(r+6)=1`

The above equality is true for all `x` for which the value is defined, i.e. for all real values other than `r=-6`.

Answer 4

`1`

Explanation:

We have the same thing on the numerator and the same thing on the denominator, thus this expression is equal to `1`.

`r+6` is the same as `6+r`, because addition is commutative. Thus, we would have:

`(r+6)/(r+6)`

The terms would cancel with each other, and we would essentially be left with a `1`. We can view this as the coefficient on the `r` term.

In general, `a/a=1`. So if the top and bottom of a fraction is the same, it is equal to `1`.

Hope this helps!