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

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Homework Help Overview

The discussion revolves around the expression a/b/c and its interpretation in algebra. Participants explore how this expression can be ambiguous and the implications of different interpretations in both mathematics and programming contexts.

Discussion Character

  • Conceptual clarification, Assumption checking, Mixed

Approaches and Questions Raised

  • Some participants attempt to clarify the expression's meaning, suggesting it could be interpreted as either (a/b)/c or a/(b/c). Others question the conventions used in mathematics versus programming languages regarding operator precedence and associativity.

Discussion Status

The discussion is ongoing, with various interpretations being explored. Participants have raised points about the clarity of mathematical notation and the potential for confusion without explicit parentheses. Some guidance has been offered regarding the importance of notation, but no consensus has been reached.

Contextual Notes

There is a noted lack of clarity in the mathematical conventions surrounding the expression a/b/c, with references to programming languages that define operator precedence differently. Participants also mention the importance of using parentheses to avoid ambiguity.

  • #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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