SOLUTION: 1. Find the common denominator of the two fractions - leaving the common denominator in factored form 2. Make equivalent fractions using the common denominator - leaving he de

Algebra ->  Equations -> SOLUTION: 1. Find the common denominator of the two fractions - leaving the common denominator in factored form 2. Make equivalent fractions using the common denominator - leaving he de      Log On


   

Question 1206004: 1. Find the common denominator of the two fractions - leaving the common denominator in factored form
2. Make equivalent fractions using the common denominator - leaving he denominator in factored form
3. Subtract the rational expressions and simplify if possible - leaving the denominator in factored form
Fractions:
3x+2/4x-1
5/2x+3
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%2B2%29%2F%284x-1%29
5%2F%282x%2B3%29
1. Find the common denominator of the two fractions -leaving the common denominator in factored form
the common denominator is %284x-1%29%282x%2B3%29

2. Make equivalent fractions using the common denominator -leaving he denominator in factored form

%28%283x%2B2%29%282x%2B3%29%29%2F%28%284x-1%29%282x%2B3%29%29

5%284x-1%29%2F%28%282x%2B3%29%284x-1%29%29

3. Subtract the rational expressions and simplify if possible -leaving the denominator in factored form



%28%283x%2B2%29%282x%2B3%29-5%284x-1%29%29%2F%28%282x%2B3%29%284x-1%29%29

%286x%5E2+%2B+13x+%2B+6-20x%2B5%29%2F%28%282x%2B3%29%284x-1%29%29

%286x%5E2+-+7x+%2B+11%29%2F%28%282x%2B3%29%284x-1%29%29


Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The other tutor responded to the question by interpreting what you meant in your post....

Note, however, that neither of the expressions you show in your post is a fraction:

3x+2/4x-1 --> 3x%2B2%2F4x-1
5/2x+3 -- 5%2F2x%2B3

If you are working problems like this, your level of math knowledge should be enough that you should know that proper use of parentheses is important.

(3x+2)/(4x-1) --> %283x%2B2%29%2F%284x-1%29
5/(2x+3) -- 5%2F%282x%2B3%29