algebra 1 question

Question

5c/c-d+5d/d-c Please show me the steps to solve this problem.

Answer 1

5c/c-d+5d/d-c (brackets would make this problem less confusing...)

multiply first term by (-1)/(-1) = 1, which legal!

-5c/d-c+5d/d-c

now you have common denominator

(-5c+5d)/(d-c)

factor out 5

5(-c+d)/(d-c) = 5 !