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
2 answers

Simplifying algebric terms

I would like to clarify - when the equation was simplified by dividing both side by 61. why wasnt this equation instead a = 10/61 * b/61 + 230/61 61a = 10b + 230 a = 10/61b + 230
ilovetolearn
  • 1,341
0
votes
3 answers

Divison of Fractions

Intuitively answer of $(1/1)/(1/(5^{-2}))=25$ But assuming this mathematical logic of evaluating $(a/b) /(c/d) = (a*d) / (b*c)$ equation evaluates to $1/25$. Is there any specified rule to put parenthesis .. What i have studied in operator…
ATul Singh
  • 121
  • 4
0
votes
2 answers

Simplifying Fractions with Radicals

How would I simplify a fraction that has a radical in it? For example: $$\frac{\sqrt{2a^7b^2}}{{\sqrt{32b^3}}}$$
0
votes
4 answers

Rank odds without converting

Brazil are currently playing Mexico, and at the start of the game Brazil were 2/5 to win. As it's the 38th minute and still 0-0, their odds have changed to 8/15. Now, if I'm not wrong that represents implied probabilities of 71.4% and 65.2%…
Dan
  • 293
0
votes
1 answer

Is three halves a fraction?

Is three halves (3/2) a fraction? I understand there may be a more accurate name for this kind of number (improper fraction?) which would be interesting to know. But that isn't what I'm after me, I don't really care if it belongs to a subset or…
Paul
  • 121
0
votes
2 answers

How to transform $2,(9)$ to form $\frac{a}{b}$

How to transform $2,(9)$ to form $\frac{a}{b}$. My attemp: $$x=2,(9)/\cdot 10$$ $$10x=29,(9)$$ $$10x-x=29,(9)-2(9)$$ $$9x=27$$ $$x=3$$ but do not know if I have done the exact. Please help me
0
votes
1 answer

Simplifying a fraction.

The answer of a "solve for x" equation equaled to -10/-19, and the website on which I am practicing says it needs to be simplified, but I have no idea how. Help?
0
votes
2 answers

How to simplify this fraction: $ \frac{(k + 1)((k + 1)+1)(2(k + 1)+1)}{6}\;\;$?

Can anyone show me how to simplify this fraction: $$ \frac{(k + 1)((k + 1)+1)(2(k + 1)+1)}{6}\;\;. $$ What can be factored out and so forth? Thanks.
Cfrim
  • 103
0
votes
1 answer

Reducing an inquality with fractions

can you help me reduce the following inequality (i need to get a relation between x and y -- express x in terms of y) $\frac{n}{2x} < \frac{n}{(4+\epsilon)y}+1$ I would like to show somehow that $x > (1+\epsilon) y$ OR that $x>2y$ The assumption…
0
votes
4 answers

How to make sense of fractions concretely

I can solve fractions abstractly, for example, $\frac{5}{2}$ divided by $\frac{3}{2}$, you can flip $\frac{3}{2}$ so that $\frac{5}{2}$ multiplied by $\frac{2}{3}$. Specifically, math makes sense abstractly, but concretely it just won't make sense,…
0
votes
1 answer

fraction as index number?

given these inputs x = 4, S = [1 2 3 4 5 6 7 8 9 10], and n = 10 search (x,S,n) { i = 1 j = n while i < j { m = [(i+j)/2] if x > Sm then i=n+1 else j = m end if x = Si then location = i else…
bangsauce
  • 133
0
votes
2 answers

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.
0
votes
0 answers

How to find maximum and minimum of $\frac{x+y+z}{ax+by+cz}$ where $0\leq x \leq y \leq z \leq 1$ for given positive real numbers $a,b,c$

How do I find the maximum and minimum of $$\frac{x+y+z}{ax+by+cz}$$ where $0\leq x \leq y \leq z\leq 1$ for given positive real numbers $a,b,c$? I guess those are one of $\frac{3}{a+b+c}$ or $\frac{2}{b+c}$ or $\frac{1}{c}$, but can't prove it.
hanock
  • 1
0
votes
2 answers

Simplifying algebraic fractions.

I cannot simplify the following expression. Please need help. $\large \frac{3}{x+1}-\frac{1}{x+3}+\frac{3}{1-x}-\frac{1}{3-x}$ Thanks in advance. Regards !
user126456
0
votes
1 answer

How to solve this fraction within minute? (or trick)

I want to solve this question within minute but bcz of fraction it take more than a minute. does any one know a trick to solve this type question.plz share thanks
IOv
  • 9