# fractions

1. ### How does this fraction simplify into that?

-----> Huh? (Drunk) The first equation is the original, the second one is the answer. A hero is needed to assist me in this strange paradise of problem!
2. ### Adding a fraction to a whole number in an algebraic equation

Hello! :) I am going over another answer for a question on an online test: The only question I have is, how did they get 9/2? The way I'd go about solving this is making the -4 a -4/1, and then adding -1/2 to get 4/2. Where am I going wrong? Thanks in advanced! :) -Neo
3. ### Breaking apart a Denominator

This is a step in a current calculus problem am I attempting. This rewriting is essential to being able to solve the integral, but I am unsure how the author went between these two steps. To my knowledge, denominators cannot be broken apart. He seems to have moved a u to the outside and taken...
4. ### Got this tricky problem in Algebra class (9th grade) and I am stumped.

Got this tricky problem in Algebra class (10th grade) and I am stumped. I need to be able to figure out how to solve this problem, but I have no idea how I would figure it out: Local college students were surveyed about their dining preferences. The results showed that 1/3 of the students...
5. ### Adding fractions with different denominators

Hey, I just returned back to college and I'm struggling with a particular problem. Its adding two fractions with a different denominator. My problem is with the second denominator with the exponent of X. Any help would be great. The problem is 2 over X plus 9 over 7x2 2 9 - + - x 7x2
6. ### LCD is Complex Fractions

Just started an intermediate algebra class and I'm already lost. I have complex fractions to simplify, I can do it until I get to the ones requiring the use of LCD. I cannot for the life of me figure out how the LCD is found. I have a sample problem of...
7. ### chemical reaction rate differential equation.

Hi guys, Need some help with this separable differential equation. I understand that I have to use separation of variables and integration by partial fractions (it is a second order reaction rate equation where K is the reaction rate constant). I can get it to this form...
8. ### Calculus newbie: Need help splitting (x + 1) / (6x + x^2) into partial fractions

As mentioned in the title, I am attempting to split (x + 1) / (6x) + (x^2) into partial fractions. What I currently have is the following: "x + 1 = A(x^2) + B(6x) + c(6x)(x). If I understand how to do partial fractions correctly, I must now find a number that "negates" each term of that...
9. ### converting decimals to fractions - help!

Hi everyone, I've got a very simple question whose answer I can't seem to understand. It's basic math, hopefully it's in the right forum as I didn't consider it complicated enough for the Algebra section. I've got the following problem: \frac{0.93 - 0.90} {0.90} I'm told to find the result...
10. ### Integration Questions: Trig Sub, Partial Fractions, Cover Method

Hi, I have two questions (well 3 really): 1. to find the integral of 2/(y2 + 9y + 8) - do I use partial fractions? I can see the denominator factors to (y+ 8)(y+1). We were taught the cover method and I have read about it however still don't get it. I am so used to cross-multiplying long...
11. ### simple fractions just cant remember

Hi; Why is (a - b) / (ab) = (b - c) / (bc) the same as (a - b)/(b - c) = ab / bc. Thanks.
12. ### Differentiating fractions without the quotient rule?

Differentiate y=\frac{x^{2}}{(x+4)} without using the quotient rule. Can you use the product rule to differentiate above? If so, what are the steps? y=x^{2}(x+4)^{-1} \frac{dy}{dx} = 2x(x+4)^{-1}+x^{2}(1)^{-1} Is the above correct so far? If not, where did I make the mistake? :)
13. ### How to write decimals as simple fractions (and other way round.)

Can you just explain 'how to' turn decimals into fractions and fractions into decimals?(Itwasntme)
14. ### Partial fractions with a lone x^2

I had a question about when you do partial fractions to solve an integral problem: Say we have an integrand like 1/(x^2*(x+2)^2) Now, I feel completely at ease with how to handle repeated factors as well as quadratics like (x+2)^2. But I suddenly found myself a bit hesitant about x^2. I mean...
15. ### Methods of partial fractions

I'm doing this problem and it started to get confusing when I got to arranging the terms in decreasing powers of x. Usually when i arrange the terms in decreasing order there will only be 2 to 3 letters in each parenthesis, but here I don't know what happened.
16. ### Methods of Partial Fractions

Which from the two (shown in the image) is correct? After factoring the denominator, theres a variable with a power of two. I remember doing another problem where the denominator had a variable with a power of two (ex. (x2+121)) and the letters assigned was Ay+B. Although I do know that if the...
17. ### Partial Fractions

Can someone please show me how to solve this?
18. ### Basic question with fractions

Here is the question: If the tax rate is 25% and net income is \$100,000, what is gross income?
19. ### Fractions?

No clue if this is where this goes... I am 15, ninth grade next year, and I haven't really paid attention to school or actually wanted to learn. so now I am going to catch up this summer and maybe go beyond? I have no clue if fractions count as algebra, but this is the only area I could think...
20. ### Method to factor a quadratic equation containing fractions without guessing?

I am asked to factor this equation: (1/6)c2+(25/72)c+(1/6) The answer given is: [(1/3)c+(1/4)] x [(1/2)c+(2/3)] Because of the difficulty guessing the correct fractions to multiply - in this case 2/3 and 1/4 - I want to know if there is a reliable method to find these two fractions? I...