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

4 Answers
Apr 1, 2018

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

Explanation:

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

Apr 1, 2018

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.

Apr 1, 2018

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.

Apr 1, 2018

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!