Introduction
Hello im the MathMan!! I hear you are possibly struggling with math? Well I'm here to help you with your troubles! What is it that you said you were having trouble with again ? Oh that's right, expressions in fractions. Here ,let's see what we can do :)
Task
By the end of this lesson that were about to learn you will understand how to simplify complex fractions! Sounds fun right? Great im glad your just as excited as i am to becoming a smarter mathmatician so you can be just like me!! Lets Get Started.
1 Go to this site and take notes on chapter 5 day 4 notes to have a better understanding before we begin.
2.Also, to see how other people solve complex fractions you can visit this website as a resource. Not a cheat sheet!
3. And the final task for you is to Add honeywellmath.weebly to your favorites tab on all of your computers that you own!
Process
Step 1:
To start things off lets make a complex fraction.
![[4 + (1/x)] / [3 + (2/x^2)]](https://images.weserv.nl/?url=www.purplemath.com%2Fmodules%2Frational%2Fcompfr01.gif){kind=small}
Now what do you think we should do first?
We should always find a common denominator and remember what you do to the bottom you gotta do to the top as well.
Step 2: Simplify your fractions by either adding your fractions or subtracting them.
Step 3: Now here's the tricky part ,your fraction will most likely be a fraction over a fraction, so what we do instead of divide we'll; multiply them so when we switch the signs we must flip the fraction. Hopefully you remeber that back from your earlier years of experience (look at example.)
Step 4: After we flip the fractions and are ready to multiply the fractions , make sure to look at the examples before making any decisions. Let's look at the example below....
3x2+2
See how they flipped the 3x2+2 to where its the denominator(on bottom) and not the numerator(on top) Make sure to never miss this step! (look at example)
Step 5: Now you multiply across the top and dont try and combine unlike terms, that's a major no, no!!! After it's solved you should end up with x(4x+1) over x multiplied by x2 over 3x2+2 (Look at example)
Step 6: Simplify! Here's the fun part because we know it's almost time to be done with the problem :)! Make sure you only cancel terms that are cancelable for example , the x's cancel out because they're the same term. Notice how nothing else cancels out because there are no other like terms so therefore from here we must again simplify the fraction.
Step 7: Lastly, we write our answer out neatly after simplifing as much as we can. Our final answer ends up to be 4x2+x all over 3x2+2 and there you have it , that is how you simplify complex fractions!!
Hope you enjoy math as much as i do :)!!
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Evaluation
We have found our answer and we have reached an end point to solving our complex fraction. We know all the steps necassary to complete complex fractions and we will not struggle or completly freeze when we encounter another one of these problems in our lives. We are Mathmeticians now.
Conclusion
Congratulations you are now a math genious like me! I knew you had true potential inside you! Aren't you so proud of yourself, I know i certainly am. Just think about it now you can go around bragging about how you can solve complex fractions and you can be the one helping other people out instead of being helped, Youve unlocked your true potential now get out there and use it BE PROUD OF YOUR ACCOMPLISHMENTS
Credits
Made and edited by Isaac Johnson
Influenced my teacher Ms. Honeywell :)
