Questions tagged [fractions]

Questions on fractions, i.e. expressions (not values) of the form $\frac ab$, including arithmetic with fractions. Not to be confused with the tag (rational-numbers): fractions denote rational numbers, but the same rational number may be written in different ways as a fraction.

A fraction is simply an expression $\frac{a}{b}$, where $a$ and $b$ are typically integers (where $b\neq 0$). This tag may be used, when $a$ and $b$ are more general expressions or algebraic objects; however, consider adding a more specific tag also:

Fractions are distinct from rational numbers because they are a representation: $\frac 34$ and $\frac{30}{40}$ are different fractions that happen to represent the same rational number.

For arithmetic with fractions, this tag is appropriate along with .

2981 questions
0
votes
3 answers

Multiplying fractions up to 2017

I recently came across this question, and I need some help with it $(1- 1/2)\times(1-1/3)\times(1-1/4) ... (1-1/2016)\times (1-1/2017)=$ I have worked out that the pattern goes : $1\over2$$\times$$2\over3$$\times$$3\over4$... The last fraction…
bio
  • 638
0
votes
2 answers

Combining fractions whilst knowing only ratio

Apologies for the potentially obviously impossible/simple question. I have 2 values: $c_1 = b_1/a_1$ $c_2 = b_2/a_2$ $c_1, c_2$ are known, but $a_1,a_2,b_1,b_2$ are not (except being $> 0$ and finite) Is there any way to calculate: $c_t =…
Jdog
  • 101
0
votes
4 answers

Inequality Problem $\frac 1x + \frac 1y + \frac1z \ge \frac{9}{x+y+z}$

Could I please have help solving this inequality. I have tried but haven't made meaningful progress. If x,y and z are real numbers prove that: $$\frac 1x + \frac 1y + \frac1z \ge \frac{9}{x+y+z}$$
John Hon
  • 473
0
votes
1 answer

Estimate the value as a whole number or as a mixed numeral where the fractional part is 1/2

I got into a math problem, where it asked the following question: I’m not asking for the answer, but I want to know what it means by: “where the fractional part is 1/2”
Steve
  • 103
0
votes
1 answer

How to find the opposite numerator of a fraction?

I'm attempting to write an algorithm that deals with colors for a video game, and I've come across a very simple problem that I can solve no problem, but have no idea how to write a foolproof function that works for any input. What I need to do is…
0
votes
2 answers

Simplify fraction with a $\pm$ value numerator

What are the steps to simplify by $2$ as shown? I am not clear on how this is does while still maintaining the $\pm$. $$\frac{6\pm2\sqrt{6}}{-6}$$ To: $$\frac{3\pm\sqrt{6}}{-3}$$ Equation step 6 to 7
0
votes
1 answer

Solving a fraction with shown work

I'm sitting here scratching my head and wondering what I'm missing. So here are is fraction like questions that I don't fully grasp. I gotten the answer with help of calculator a b/c function, but I would love if someone could break down the actual…
0111010001110000
  • 57
  • 1
  • 1
  • 4
0
votes
3 answers

Is it possible to solve a fraction that has 0 at denominator?

Can $\frac{a}{0}$ be defined or solved?
Quantum34
  • 9
  • 1
0
votes
6 answers

Why is the solution to this algebraic fraction simplification given like this and how was it reached?

I have a question in my text book that asks me to simplify the above expression. I reached the solution: However, the textbook gives the answer as: I appreciate that the value of these two expressions is the same. However, I am unsure as to how…
0
votes
1 answer

Please help me with the wording of a question

I need to prepare a number of questions for my homework on numbers and fractions. Not being a native English speaker, I'm stuck on constructing a question. Everyday a student solves questions in the following manner: 1st day: n questions 2nd day: n…
0
votes
2 answers

Using Algebraic Fractions To Find Perimeter

Make a formula to find the perimeter of the rectangle, the perimeter is 24 units. The longer side is $\frac{5}{x+1}$ and the shorter side is $\frac{2}{x}$. I know that the answer is $\frac{1}{4}$ but no idea how. Any ideas how to solve it?
L Smith
  • 65
0
votes
2 answers

How to write sum of fractions with powers

Disclaimer: I'm not a mathematician so this question may sound very easy to you. Sorry if this is too easy for you. (Also english is not my native language but I'll try.) I have the folowing…
RoiEX
  • 139
0
votes
0 answers

Fractions not equaling when applied to two sets of data.

I am an accountant with a university mathematics degree. Although its been some years since I became heavily involved in Mathematics, I should be able to understand most things, however I can't get my head around this problem. At work I have…
0
votes
1 answer

Simplifying ‘fraction-over-fraction-over-fraction’

It's repetitive and I'm just confused on what to do; I know we have to find a LCD but the fraction-over-fraction-over-fraction is throwing me off. $$x + \frac{1}{x+\frac{1}{x+\frac{1}{x}}}$$
0
votes
2 answers

Expressing as a single fraction

I'm trying to improve my maths so I can sit the GRE this time next year. I'm stuck on a really silly question: Express as a single fraction: $$\frac{\frac{3x}{2y-7y}}{4x}$$ I'm trying to find a common denominator to cancel out the bottom line. Am I…