Question

Simplify 1/c+1/d / 1/c-1/d

Answer 1

`(c-1)/(c+1)`

Explanation:

1 ÷
`(c+1)/(d)`

_______

1 ÷
`(c-1)/(d)`

For the numerator: Flip the denominator over the numerator for c+1/d and multiply it to 1

For the denominator: Flip the denominator over the numerator for c-1/d and multiply it to 1

Now,

`(d)/(c+1)` ÷
`(d)/(c-1)`

Flip d/c-1 to be c-1/d and multiply it to d/c+1

`(d)/(c+1)` ·
`(c-1)/(d)`

The D's cancel out:

=
`(c-1)/(c+1)`

c-1/c+1