Question

PLEASE HELP!50 POINTS! Brainiest if you know how to do it. I will report you if you're just guessing or very wrong. How do I find the least common denominator in these?
Which of the following is the least common denominator for w-5/w-7 and w+8/3w?


A. 3w (w − 7)

B. w (w − 7)

C. 3w − 7

D. 3(w + 7)

Answer 1

Answer:

• A. 3w (w − 7)

Step-by-step explanation:

Given

Fractions

• (w- 5)/(w-7) and (w + 8)/3w

To find

• Common denominator

Solution

We observe that the fractions can't be simplified any more and they are in the simplest form

Next, the denominators w - 7 and 3w don't have common factors

Therefore the common denominator is the product of denominators:

• 3w(w - 7)

Correct option is A

Answer 2

Answer:

A) 3w(w-7)

Step-by-step explanation:

$\frac{w-5}{w-7} and \frac{w+8}{3w}$

w-7 is a binomial, and 3w is a monomial. Because you cannot put one denominator into the other or multiply both denominators by a number when you have this type of difference where multiplying by a number won't get you the same result, you must multiply them each other.

Therefore:

3w(w-7) would be your LCD.