Simplifying rational expressions

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SUMMARY

The discussion focuses on simplifying rational expressions, specifically addressing the problems involving fractions and exponents. Participants provided answers of $20/3$ and $-20/3$ for the given problems. The use of $\LaTeX$ for formatting mathematical expressions was emphasized, with guidance on how to properly write fractions and exponents in this markup language. The importance of maintaining clarity in forum threads by posting new questions separately was also highlighted.

PREREQUISITES
  • Understanding of rational expressions and simplification techniques
  • Familiarity with mathematical notation and operations involving fractions
  • Basic knowledge of $\LaTeX$ for formatting mathematical expressions
  • Experience with online forum etiquette and thread management
NEXT STEPS
  • Learn how to format complex mathematical expressions using $\LaTeX$
  • Explore advanced techniques for simplifying rational expressions
  • Research best practices for managing discussions in online forums
  • Practice solving rational expression problems with a focus on clarity and accuracy
USEFUL FOR

Students, educators, and anyone interested in improving their skills in simplifying rational expressions and using $\LaTeX$ for mathematical communication.

Alexstrasuz1
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If its not problem for you to check these last two. I got no more of these.
If you have some kind a book with tasks like this on internet I would love to print it out so I can have some fun.
View attachment 3008

1ST answer 20/3
2ND answer -20/3
 

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I'd appreciate it if you could type the problems and your answers up in $\LaTeX$, that would make your problems more readable for us.:) For these last two problems, I couldn't tell if the first problem mentions of $\left(\dfrac{2}{5}-\left( 6\dfrac{3}{7}\right)^{-1}\right):\left(\dfrac{1}{50}-10^{-2}\right)$, because if that is the case, then your answer isn't correct.

I know $LaTeX$ might be a foreign language for you, but it's really very easy to learn how to type a simple mathematical expression using $LaTeX$, for starter, if you want to type $\dfrac{2}{5}$, you need to latex code of \dfrac{2}{5}, enclosed with a pair of the dollar signs. If you want $10^2$, you just type 10^2, enclosed it with a pair of the dollar signs but if the exponent consists of more than two "characters", just as in $10^{-2}$, you need to put the pair of curly braces{} around the exponent.

Do you want to take a stab at it and re-post your last two questions here?
 
Alexstrasuz said:
If its not problem for you to check these last two. I got no more of these...

I have moved your new questions into a new thread. We ask that new questions be posted in a new thread as tagging new question onto an existing thread can make the thread become convoluted and hard to follow. :D
 

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Alexstrasuz said:
View attachment 3009

Done in word
I agree with your answers, $20/3$ and $-20/3$.
 

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