Geometry help to understand division of fractions
The area of a rectangle is the result of product of its sides.
The division of the area of a rectangle by one of its sides is the length of the other side.
Every rectangle of constant area is limited by its hyperbola:
The hyperbola y=A/x
y: vertical axis
x: horizontal axis
A: area of the rectangle.
This hyperbola is shown in the app as a shadow.
The area of the rectangle is written inside the rectangle
Spinners show the division of the area by the widht of the rectangle.
The result is the height of the rectangle.
This program uses the Farey sequence of fractions n=99 From 1/99 to 99/1
Each fraction is a gray vertical thin line in the graphic
There are 6000 fractions to use in this app.
The rectangle is interactive and grow and shrink horizontally.
For a more detailed interaction there are two gliding scrollers: one for width and other for height.
The only way to change the area of the rectangle is the first drop down spinner.
Help for understanding the division of fractions, and For the fruitless search for the square root of 2 in rational numbers. :-)
