# fractions

1. ### Infinite Continued Fractions

I need help with ICFs, specifically calculating sum with algebra and/or simple calculus. $$A=a_1 + \cfrac{1}{a_2 + \cfrac{1}{a_3 + \cfrac{1}{a_4 + ....}}},$$ where $a_n = f(n), \; n \in \mathbb{Z}^+$. (?) Is the fraction above always convergent if $a_n \ge 1$? (?) What about \$ 0 < a_n <...
2. ### How to solve an algebraic equation with fractions with an unknown in the denominator

There must be something simple I'm missing here, but this just isn't working out for me. How do I solve: (3 / 5x) - (2 / 6x) = (2 / x) + (7 / 3x) I will probably kick myself when I see the solution... Thanks in advance!

4. ### Fractions

How to solve the following question please explain step by step

6. ### Cancelling sums in fractions

Help me do the impossible, I'm looking at this: \frac{\sin(a+e)}{b}*\frac{u*\sin(e) - v*\sin(e)}{\sin(a)*\cos(e+a)+(1-\cos(a))*\cos(e+a)}-\frac{\cos(e+a)}{b}*\frac{u*\sin(e) - v*\cos(e)}{\sin(a)*\sin(a+e) + (1-\cos(a))*\cos(a+e)} As you can see, both sides of the subtraction are very...
7. ### Fractions in Order of Operations

When using order of operations, do you simply put the top part of the fraction next to the bottom part of the fraction with a division sign in between them, or do the upper and lower parts of the fraction act as equations in parentheses? I have been simply rewriting the fraction as a division...
8. ### Complex Fractions and Beginning Algebra

Hello all, I'm starting a "beginning algebra" class (that's what my school calls it). It's been a while since I've had a math class and have been reviewing everything from fractions to pre-algebra. In addition to using Khan Academy I purchased a workbook so I could get used to showing my work...
9. ### Fractions , linear-algebra!

Hi everyone, Iâ€™m quite new here, so please bare with me! Iâ€™m stuck on a a problem and itâ€™s being consuming my entire day! The problem is the following Subtract: x / (x-2).( x+4) from -2 / x^2+2x-8 There are four possible answeres given to me on this problem. They might all be...
10. ### Reducing fractions to its simplest form ( with exponents)

Hello! I'd like some help with a few problems that I have with reducing certain fractions to its simplest form. I already know the answers since they are written down in my book; what I need help with is how to think, explanation. Here are the problems: a) 3AB^3/18A^3B b) 10X^3/15X^2 c)...
11. ### Simplifying Fractions Before Adding

Hello all, I have an extremely elementary question however my mind is drawing a blank - Can fractions be simplified diagonally before adding? Or is that only in multiplying fractions? i.e. can 3/8 + 5/6 be simplified diagonally to 1/8 + 5/2? Then the common denominator be found...
12. ### Fractions 64(2/3)`

I had to do an accuplacer recently and a few questions stood out that I didn't understand. This was one of them. 64 \frac{2}{3} and the options were 2,4, 8, 16, 32. What math is this? It's not a standard fraction.
13. ### Unique digital fractions sum to one

What equation ab/cd+efg/hij=1 is unique since it expresses "1" as sum of two fractions using all the digits from 0 to 9 exactly once each. Hint: both addends equal 1/2.
14. ### Fractions

The answers are given for the attached. My question is, why do I clear the fraction in the first and not the second? Is there a rule I'm missing, like only clearing odd denominators and not even denominators?
15. ### Simplifying Nested Fractions

Can anyone direct me where I went wrong with this example: \frac{\sqrt{4-x^{2}}-\frac{1}{2\sqrt{4-x^{2}}}}{4-x^{2}} My first inkling was to simplify the top section by multiplying by the reciprocal of the top right fraction - by {2\sqrt{4-x^{2}}} to give like denominators. So left side...
16. ### Fractions issue

Hi, I am sure I am missing a trick here, but could someone please help me understand why, \frac{4n}{4n-3}=1+\frac{3}{4n-3} Thank you in advance, Matt
17. ### Fractions with X & GCD

First of all, excuse me for my English. I'm from Belgium so it's not my mother tongue. I've a problem with finding the GCD in this equation: x/8 + (x-1)/2pi it should be: (pi+4)(x-4) . . . 8pi if someone could help me with this, that would be great...
18. ### Divide two fractions View form Shape

Hi Please explain to me how it can be divided two fractions, Display form shape like this: thanks
19. ### Algebraic Fractions Help

Can someone check if this is right? Or is it just 3x-5/3(2x-3)