Tagged Questions

51 views

Definition of Rational/ Irrational Numbers reguarding denominators

The definition of a Irrational number is "Irrational numbers don't include integers OR fractions. However, irrational numbers can have a decimal value that continues forever WITHOUT a pattern." So ...
76 views

can fractions be done on a regular caculator?

I am wondering if I can use me standard calculator to solve fraction problems which include: adding, subtracting, multiplying, and dividing fractions, or do I need to buy a scientific calculator to ...
56 views

How do you simplify an algebraic expression?

Please explain how to simplify an expression that is similar to this one $\displaystyle\frac{a+3}{6}+\frac{a-4}{4}+\frac{a+2}{-3}$
53 views

Splitting the numerator

Can someone explain how we can get the second fraction by splitting the numerator? $$\frac{x^3}{x^2+x+1}=x-1+\frac{1}{x^2+x+1}$$ I can get the LHS from the RHS but not the other way around. What ...
30 views

I don't understand the expected result from an equation. [closed]

I came across this a while ago in my studies and let it pass however exams are closing in so I better figure it out. I am not sure why in the second equation 458 is the answer.
54 views

Basic algebra, isolating the variable

So I have the equation $$\tan30=\frac{4.9t-\frac{10}{t}}{\frac{8.77}{t}}$$ And I want to find t, but my algebra has failed me. This is my working so far. ...
33 views

Fractions with 3 diffferent variables

Calculate the values of $a$, $b$ and $c$ if: $$\frac{5}{13} = \frac{1}{a+\frac{1}{b+\frac{2}{c}}}$$ Can anyone give me a hint and not the answer? Thanks.
126 views

79 views

Finding percentage which is less

The number that is 50% greater than $60$ is what percentage less than the number that is 20% less than $150$ ? My try : I considered a number is 50% of $130$ which is greater than the $60$ and 20% ...
244 views

How to prove the fraction identity without using calculator

How to prove without calculator that $$\frac{1}{1001} + \frac{1}{3001} > \frac{1}{1000}$$
199 views

Check my answers to these problems on rationalizing denominators? [closed]

I just need to check my answers for these problems. I did the work already on paper. I'm not trying to get free answers because I know that would hurt me in the long run. So here's the questions: ...
61 views

Ring of fractions in $\mathbb{Z}/35\mathbb{Z}$

How can I determine $S^{-1}(\mathbb{Z}/35\mathbb{Z})$, where $S$ consists of of all elements of $\mathbb{Z}/35\mathbb{Z}$ except $0,5,10,15,20,25,$ and $30$?
80 views

summation of fractions and inequalities

I am trying to prove that $\sum_{i=1}^{n}\frac{1}{a_i}\leqslant 2$, where all $a_i$ are less than 1000, and all $a_i$ have a lowest common multiple greater than 1000. This is what I have done so far: ...
71 views

A homework question asks me to "perform the addition or subtraction and simplify" $$\begin{gather} \frac{4}{2x-7}-\frac{3}{(2x-7)^2}=4(2x-7)-3=8x-28-3=8x-31 \\ 8x=31 \\ x=\frac{31}{8} \end{gather} ... 1answer 72 views Problems with basic algebra I'm studying for an exam in a digital communications course I'm taking, and the solution to one question has me totally lost. While finding the Inverse Fourier Transform of a function, there's one ... 1answer 62 views Problem with slopes. I currently have a slope that looks like this: \frac{-5}{10} However, I need to bring it down to it's lowest terms, so I divided the numerator and denominator by -5 and I got: \frac{1}{-2} ... 3answers 5k views How can I convert this negative fraction to a positive one? This question may be very simple, but I get confused on things like it. If I have a fraction like this: -\frac{x}{-2} How can I convert this negative fraction to a positive one? It does not ... 2answers 1k views Problem with getting variable by itself in fraction. I have a problem that looks something like this: The difference of the quotient of a number and -2 from 12 is 15. So I started off like this: 12-\displaystyle\frac{x}{-2}=15 Then I ... 1answer 178 views Rationalizing fractions with multiple radicals I am having trouble rationalizing \frac{2}{\sqrt{2-\sqrt{2}}} I have tried multiplying the fraction by \sqrt{2 + \sqrt{2}} and got \frac{2\sqrt{2+\sqrt{2}}}{\sqrt{2}} I am not sure if that is ... 1answer 273 views Simplifying fraction with multiple radicals I have an answer to a problem that I am working on but I have no idea how to rationalize the denominator because I have never worked with this type of problem before. The problem is: ... 2answers 46 views What is this technique called? It's been a long time since I've done algebra. I remember how to do it, but I'm at a loss to explain it. For instance, my son has the following problem;$$\frac{3}{Q+1}+\frac{2}{Q}$$So I say, you ... 4answers 400 views Of all the possible combinations of positive numbers that sum to 10, which has the largest multiplication? Of all the possible combinations of positive numbers that sum to 10, which has the largest multiplication? I had also got a clue: it's related to e. Please help! ... 1answer 113 views How to solve this System of Polynomial Equations? I have to complete a summer packet of 90 Algebra 2 questions. I have completed 89 of them, the only one I could not get was this. I know the answer is y = \frac {47}2, \frac 17 according to ... 2answers 590 views Graphing Fractional Exponents f(x)=x^\frac{5}{3}-5x^\frac{2}{3} is the same as : f(x)=(\sqrt[3]x)^5-(\sqrt[3]{5x})^2 Except, with the first equation, my calculator returns an error for negative values of x (We are ... 1answer 133 views Help with trinomial fractions [closed] The denominator is x-6, and the numerator is a trinomial. I figured the trinomial out - (x-3)(x-2); I'm not sure what to do after this step though.$$\frac{x^2}{x-6} - \frac{5x+6}{x-6}
I am having a problem understanding some manipulations with recurring decimals. The exercise is Write each of the following as a decimal and a fraction: (iii) $66\frac{2}{3}$% (iv) ...
Prove the following statement: if $\frac{p}{q} (p \in \mathbb{N}, q \in \mathbb{N})$ is a rational number that corresponds to an infinite periodic decimal fraction $\alpha$, then the rational ...