Basic Algebra Problem: Solving a/b/c=?

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The expression a/b/c is ambiguous and can be interpreted in two ways: as (a/b)/c or a/(b/c). This ambiguity arises because division is not associative in mathematics, leading to confusion in notation. In programming languages like C, a/b/c is typically evaluated as (a/b)/c, but this convention does not universally apply in mathematics. To avoid misunderstandings, it is recommended to use parentheses to clarify the intended operation. Clear notation is essential for accurate communication in both mathematics and programming contexts.
  • #31
BruceW said:
Interesting, an example of right-to-left parsing for a/b/c. So, in the new Maple worksheet, it gives a/b/c = a/(b/(c)) = a/(b/c) ? I'll try to remember that, if I ever need to use Maple.

edit: well, I guess I don't need to remember anything, since it draws the solidus on-screen as you're typing.

Right, but it does need a right arrow to get get out of the fraction, or to get out of an exponent x^n or a subscript x_n.
 
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  • #32
BruceW said:
Interesting, an example of right-to-left parsing for a/b/c. So, in the new Maple worksheet, it gives a/b/c = a/(b/(c)) = a/(b/c) ? I'll try to remember that, if I ever need to use Maple.

edit: well, I guess I don't need to remember anything, since it draws the solidus on-screen as you're typing.

Right, but it does need a keyboard right arrow to get get out of the fraction, or to get out of an exponent x^n or a subscript x_n. However, to compensate, one can enter many types of fractions without using brackets (parentheses?), such as a/(b + c*e + f), which is entered as a/b+c*e+f→, etc, and displays on screen exactly as you finally want it exactly when you type it.
 
  • #33
Everyone!I have got a nice solution to this fraction thing.
Let's simplify a/b/c/d/e/f/g/h/i/j/k ...z
First take the ##\frac{a}{b}## and divide c by it.
That gives ##\frac{a}{b}*\frac{1}{c}## by taking the reciprocal.
So it's very simple.
##\frac{a}{b}*\frac{1}{c}*\frac{1}{d} ...\frac{1}{z}##
Which is same as:
##\frac{a}{bcdefghijklmnopqrstuvwxyz}##

No mess.Simple Gr.5 division.
Ah,I'm so relieved.
 

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