SOLUTION: Let a,b,c,and d be positive. Prove the follwing properties of the proportion a/b=c/d. 17. a+b/b=c+d/d how do i prove this? please help.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Let a,b,c,and d be positive. Prove the follwing properties of the proportion a/b=c/d. 17. a+b/b=c+d/d how do i prove this? please help.      Log On


   

Question 190880This question is from textbook algebra and trigonometry structure and method book 2
: Let a,b,c,and d be positive. Prove the follwing properties of the proportion a/b=c/d.
17. a+b/b=c+d/d
how do i prove this? please help. This question is from textbook algebra and trigonometry structure and method book 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If we look at %28a%2Bb%29%2Fb=%28c%2Bd%29%2Fd, we can see that it breaks down to a%2Fb%2Bb%2Fb=c%2Fd%2Bd%2Fd and simplifies to a%2Fb%2B1=c%2Fd%2B1. So to reverse this, we must add 1 to both sides of a%2Fb=c%2Fd and combine the terms. Note: we must start with what we are given to find the unknown (so we must start with the equation a%2Fb=c%2Fd).




a%2Fb=c%2Fd Start with the given equation


a%2Fb%2B1=c%2Fd%2B1 Add 1 to both sides.


a%2Fb%2Bb%2Fb=c%2Fd%2B1 Multiply the first "1" by b%2Fb (to make the denominators on the left side equal).


a%2Fb%2Bb%2Fb=c%2Fd%2Bd%2Fd Multiply the second "1" by d%2Fd (to make the denominators on the right side equal).


%28a%2Bb%29%2Fb=%28c%2Bd%29%2Fd Combine the fractions