Question

Which of the following can be added without altering any of the fractions?

a. 3x/x-1 + 8/x-1
b. 6x+1/4x-8 + 1/4x+1
c. 6x/x+6 + 6x/x-6
d. 6x/x-7 + x-7/6x

Answer 1

a

Explanation:

`(3x)/(x-1)` +
`(8)/(x-1)`

These fractions have a common denominator and so do not require to be altered.

The numerators can be added to simplify, that is

=
`(3x+8)/(x-1)`

The remaining fractions have different denominators and would require to be altered before they could be added.