# math,help

posted by .

can someone show me these steps with the division like

2
---
1 which would mean half. the following though. so i can see it.

Simplify

3
--- + 1
x-5
-----------
1 - (4)/(x-5)

Get least common denominator.
For top part, the LCD is x-5. So the 1 becomes (x-5)/(x-5). Thus the top becomes (3 + x - 5)/(x - 5). This simplifies to (x-2)/(x-5).

Now do the bottom. The LCD is x-5. So the 1 becomes (x-5)/(x-5). So, the whole bottom part becomes (x-5-4)/(x-5).
This simplifies to (x-9)/(x-5).

Now you have complex fraction, where the top is: (x-2)/(x-5); and the bottom is (x-9)/(x-5). The (x-5)'s cancel, so you're left with:

(x-2)/(x-9).

I got the same answer. Hope I didn't make a mistake.

The top part, however, is not 1/2. It is 2.

Matt

Just to make sure, I added a random # in for x (7)

Matt

## Similar Questions

1. ### math

how would you simplify y= (x^5-32)/(x-2)?
2. ### microeconomics

Ok, if anyone is able to help me within the next 12 hours or so, that would be wonderful! I think I am going about this problem correctly -- I am not looking for someone to solve this problem for me, but for someone to tell me if I …
3. ### algebra 2

can someone please explain synthetic division to me?
4. ### Thanks TRISH

thanks...even though you didn't help me with that you still helped me.. You're welcome. Like BobPursley told you, I just can't give you the answer. Not only is it not what this site is for, you would never learn anything, and like …
5. ### simplify fractions{someone help plz}

ok how do i simplify a fraction if there is no fraction. like for ex this is one of the problems i simplify to 1/2. my numerator is a prime number between 44 and 52 who am i?
6. ### math

Can someone show me the steps necessary to simplify the expression by combining like terms?
7. ### life science

a.)What are the steps of mitosis? b.)Explain what each of the steps mean. c.)What are the steps of cell division?
8. ### Simplify Practice.

Write the difference 30 – (–12) as a sum, then simplify. Evaluate the following expression. Show all steps. 18 + 6m for m = 2
9. ### Math. idk?

6. Name the like terms in the following expression. 5m + 4 + 3m + 6p 7. Write an equation for the following: Twelve times h equals one hundred twenty minus thirty-six.State whether the equation is true, false, or an open sentence. …