Find the LCD for the given rational expressions, and convert each rational expression into an equivalent rational expression with the LCD as the denominator. 3 5

----, ----
84a 63b

4b 6
-----, ----
75a 105ab

Can someone here help me I do not understand this at all need help!

Your types question got the fractions all scrmbled. I will assume the fractions you are trying to find the LCD for are
3/(84 a), 5/(63 b), 4b/(75 a) , and 6/(105 ab)

To get the LCD, factor all the demominators into prime factors, plus the algebraic characters a and b.
84 a -> 2*2*2*3*7 a
63 b -> 3*3*7 b
75 a -> 3*5*5 a
105 ab -> 3*5*7 a b

The LCD must contain all the prime factors for as many times as they occur in the term that has the most of them. You end up with
LCD = 2*2*2*3*3*5*5*7 a b
= 12,600 a b

3/(84 a) = 450 b/12,600 ab
5/(63 b) = 1000 a/12,600 ab
4b/(75 a) = 672 b/12,600 ab
6/(105 ab) = 720/12,600 ab

lesson 3 adding and subtracting algebra readiness

1. D
2. C
3. B
4. D
5. A

----------- Trust me I got 5/5 -----------

halp what are the right answers

Ik I wit nu name what's the answer

Lmao I got a 1/5 NOT CORRECT

I love how this is a random 2005 question and the replies are coming in 2018, haha

To find the LCD for the given rational expressions, you need to factor the denominators into prime factors. Let's go step by step:

1. The first rational expression is 3/(84a). Factorizing the denominator, 84a, we get 2 * 2 * 2 * 3 * 7 * a.

2. The second rational expression is 5/(63b). Factorizing the denominator, 63b, we get 3 * 3 * 7 * b.

3. The third rational expression is 4b/(75a). Factorizing the denominator, 75a, we get 3 * 5 * 5 * a.

4. The fourth rational expression is 6/(105ab). Factorizing the denominator, 105ab, we get 3 * 5 * 7 * a * b.

Now, to find the LCD, you need to include all the prime factors as many times as they occur in the term that has the most occurrences. In this case, the term with the most occurrences is 2 * 2 * 2 * 3 * 3 * 5 * 5 * 7 * a * b.

Therefore, the LCD is 12,600ab.

Now, to convert each rational expression into an equivalent expression with the LCD as the denominator:

1. For the expression 3/(84a), to convert the denominator to the LCD, you need to multiply both the numerator and the denominator by (3 * 5 * 5 * 7 * a * b) to get 450b/(12,600ab).

2. For the expression 5/(63b), multiply both the numerator and the denominator by (2 * 2 * 2 * 3 * 5 * 5 * 7 * a * b) to get 1000a/(12,600ab).

3. For the expression 4b/(75a), multiply both the numerator and the denominator by (2 * 2 * 2 * 3 * 3 * 5 * 5 * 7 * a * b) to get 672b/(12,600ab).

4. For the expression 6/(105ab), multiply both the numerator and the denominator by (2 * 2 * 2 * 3 * 3 * 5 * 5 * 7 * a * b) to get 720/(12,600ab).

So, the equivalent rational expressions with the LCD as the denominator are:

450b/(12,600ab), 1000a/(12,600ab), 672b/(12,600ab), and 720/(12,600ab).