Talk:Fraction

message: The paragraph in question is common knowledge to math historians, and has two citations. I don't see the problem. Rick Norwood (talk) 10:36, 29 June 2023 (UTC)
thread_title: recent edit saying "citation needed"

message: After example in page 36 of Growing ideas of number (by John N Crossley) JMGN (talk) 10:14, 26 August 2023 (UTC)
replies: text: Perhaps, you are trying to tell us that there is a geometric way to represent or estimate fractions by drawing parallel lines on a graph. This is something that the article is currently not addressing. Should it be? I think this is an interesting idea. What do other editors think? Dhrm77 (talk) 11:12, 28 August 2023 (UTC)
replies: text: https://matheducators.stackexchange.com/a/26695/12046 JMGN (talk) 16:11, 28 August 2023 (UTC)

text: This was well known to Euclid, and is addressed in Straightedge and compass construction#Constructible points and Intercept theorem#Algebraic formulation of compass and ruler constructions. This is also one of the key points in Emil Artin's proof of the equivalence of the Euclidean spaces of synthetic geometry and  analytic geometry, in his book Geometric algebra. D.Lazard (talk) 16:43, 28 August 2023 (UTC)
replies: text: BTW, the "length 1" on the abscissa axis is four times as long as that on the y-coordinate. I don't know why tho'... JMGN (talk) 11:23, 5 September 2023 (UTC)
replies: text:  Please see WP:TPG and WP:NOTFORUM. Eyesnore 22:36, 6 September 2023 (UTC)
thread_title:  Geometric line for constructing fractions 

message: Please change 'number' to 'real number' in the fourth paragraph of the introduction section Fraction.
Details: 
It says "In mathematics the set of all numbers that can be expressed in the form a/b, where a and b are integers and b is not zero, is called the set of rational numbers " 
Change 'numbers' to 'real numbers' possibly with a blue hyperlink. 
I mean what kind of number is being referred to by the word 'number'? Complex numbers? integers? rational numbers? Hyper-real numbers?
Of course it would be circular, or a tautology, to say the rational numbers are the set of all rational numbers. But we can define rational numbers using real numbers as the superset. 207.244.169.9 (talk) 19:57, 26 April 2024 (UTC)
replies: text: The rational numbers can certainly not be defined using the real numbers, since the real numbers are defined using the rational numbers, and this would be a circular definition. The phrase "all numbers that can be expressed in the form a/b, where a and b are integers and b is not zero" does not imply thaat there are other numbers. It simply means that an expression a/b represents a number that is called a rational number. However, the sentence can be simplify and clarified, and I'll do it. D.Lazard (talk) 20:22, 26 April 2024 (UTC)
thread_title:  Semi-protected edit request on 26 April 2024 

message: Visual representations play a pivotal role in elucidating the concept of fractions, providing learners with intuitive tools to grasp abstract mathematical ideas.
Visual Representations of Fractions:
Pie Charts: Fractional parts of a whole are often depicted using pie charts, where each sector represents a fraction of the entire circle. This visualization allows learners to visualize fractions as proportions of a whole and understand relationships between different fractions.
Bar Models: Bar models represent fractions using segmented bars, with each segment corresponding to a fraction of the whole bar. This visual tool aids in comparing fractions, understanding equivalent fractions, and performing arithmetic operations.
Number Lines: Fractions can be represented on number lines, where each point corresponds to a fraction between 0 and 1. Number lines provide a linear representation of fractions, facilitating comparisons, addition, subtraction, and identifying fractional positions.
Area Models: Area models partition geometric shapes, such as rectangles or circles, into equal parts to represent fractions visually. This method helps learners visualize fractions as areas or regions, fostering a deeper understanding of fraction values and operations.
A tool like https://www.visualfractioncalculator.com/ can help understand fraction addition, subtraction, multiplication and division. Swapsshah (talk) 09:26, 14 May 2024 (UTC)
thread_title:  Understanding fraction operations visually