Understanding Equation Conversion: Step-by-Step Guide for Combining Equations

  • Context: High School 
  • Thread starter Thread starter iqbal7
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Discussion Overview

The discussion revolves around the process of converting one mathematical equation into another, specifically focusing on the transformation of equation A into equation B. The context includes a request for step-by-step clarification of the mathematical manipulation involved.

Discussion Character

  • Technical explanation, Conceptual clarification, Homework-related

Main Points Raised

  • One participant requests a detailed explanation of the steps involved in changing the equation Mrc= 2/3Pcb x b x 1/2d1 x 3/4d1 into Mrc= 1/4Pcb x b x (d1)2.
  • Another participant expresses difficulty in understanding the original post and suggests using LaTeX for clearer mathematical representation.
  • A different participant clarifies that multiplication does not require distribution and explains the process of combining fractions and variables, noting that the product of 2/3 and 1/2 is 1/3, and then multiplying by 3/4 results in 1/4. They also mention the squaring of d1.
  • One participant acknowledges the clarity of the explanation provided by another, indicating improved understanding.

Areas of Agreement / Disagreement

There is no explicit consensus on the original equation transformation process, as some participants express confusion while others provide clarification. The discussion includes differing levels of understanding regarding the mathematical steps involved.

Contextual Notes

Some participants highlight the importance of proper mathematical notation and representation, suggesting that the clarity of communication affects understanding. There is also a mention of potential assumptions regarding variable notation.

iqbal7
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I am reading this in a book and am having trouble understanding this.

Can someone explain the step by step the process in changing equation A into equation B?


Mrc= 2/3Pcb x b x 1/2d1 x 3/4d1

= 1/4Pcb x b x (d1)2



Many Thanks
 
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iqbal7 said:
I am reading this in a book and am having trouble understanding this.

Can someone explain the step by step the process in changing equation A into equation B?


Mrc= 2/3Pcb x b x 1/2d1 x 3/4d1

= 1/4Pcb x b x (d1)2



Many Thanks


It is almost impossible to understand what you wrote (for me it is completely impossible). Please do learn how to use LaTeX within this site to write mathematics.

DonAntonio
 
It made perfect sense,

Remember that multiplication, does not require any distribution, that is, some students write

A(BC)=(AB)(AC). This is wrong. They are thinking of A(B+C)=AB+AC.

So multiplication only needs to happen once.

you have a copy of 2/3, 1/2 and 3/4. Take the first two 2/3 and 1/2, their product is 1/3.

Then 1/3 times 3/4 is 1/4. They also have two copies of d1, so that is (d1)^2.

I'm assumig by d1, you meant d[itex]_1[/itex]
 
Thanks Algebrat,

You have explained it very clearly, and now I understand.
 

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