A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
need help simplifying complex fractions.... :( please help... i made an attempt.. dont just post the answer please teach me how to....
anonymous
 one year ago
need help simplifying complex fractions.... :( please help... i made an attempt.. dont just post the answer please teach me how to....

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it's all about making the the bottom fraction 1... just a sec

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ya i get that but i confuse myself... i know you need a common demnominator..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ugh i keep messing uppppp

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for yours, you have to get simple fraction over simple fraction first...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 2\frac{ 4 }{ x+2 } }{5+\frac{ 10 }{ x+2 } }\] is what you have but you need a simple fraction over a simple fraction. to get this, we start with a common denominator for the top expression... \[2\frac{ 4 }{ x+2 }=2\left( \frac{ x+2 }{ x+2 } \right)\frac{ 4 }{ x+2 }=\frac{ 2x+4 }{ x+2 }\frac{ 4 }{ x+2 }=\frac{ 2x }{ x+2 }\] does this make sense?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes that makes sense

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so you do the same to the bottom fraction?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so now we do the same with the bottom expression. Would you like to try?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes give me a min to do it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440524508903:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0excuse the terrible penmanship lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so now we have \[\Large{\frac{ \frac{ 2x }{ x+2 } }{ \frac{ 5x+20 }{ x+2 } }}\] right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440524931675:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes, do you know why?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0because its like dividing regular fractions... you flip and multiply... sooo the (x+2) crosses out right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well, the idea is to make an equivalent expression that is a simple fraction rather than a complex fraction. This is because we humans have a much easier time understanding what a simple fraction represents compared to a complex fraction. to make a simple fraction from a complex fraction, we simply manipulate the bottom fraction so that it is 1. we do this by multplying by the reciprocal of the bottom fraction, like this... \[\Large{\frac{ \frac{ 2x }{ x+2 } }{ \frac{ 5x+20 }{x+2 } }=\frac{ \frac{ 2x }{ x+2 }\cdot \left( \frac{ x+2 }{ 5x+20 } \right) }{ \frac{ 5x+20 }{x+2 }\cdot \left( \frac{ x+2 }{ 5x+20 } \right)}=\frac{ \frac{ 2x }{ x+2 }\cdot \left( \frac{ x+2 }{ 5x+20 } \right) }{ \normalsize{1}}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0anything over 1 is just itself so that's why we end up with \[\frac{ 2x }{ x+2 }\cdot \frac{ x+2 }{ 5x+20 }\] and we simplify from there

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0does that make sense?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes so you factor 5x+20... to get 5(x+4)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 2x }{ 5(x+4)}\] is the answer

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0or should i not factor it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait nvm thats my final answer lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0to factor or not to factor is a matter of preference... you still have reduced to lowest terms.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but does the process make sense to you?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah it makes sense to focus on the numerator and denominator separately before you put it all together.. i was trying to do it all in one stepp. so thats my final correct answer?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you for actually teaching me.. no one else takes the time to do that i have 5 more to do lol. but would you be willing to check one of them for me after i do it.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and i think that can be reduced?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0correct, it can be reduced

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well this is a silly brain fart but i would reduce all the terms by 2?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 4x12 }{ 5x}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yep, that's the extent of it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0one more question lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for the first question the denominator isnt a fraction...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you can make it one... \[5+a=\frac{ 5+a }{ 1 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohhhh wait i got thiis

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes except it is \(25a^2 \text{ not } a^2  25\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0gotchaaa.. but does the order i write it affect it? i thought it was a difference of squares either way

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0true, but \(25a^2 \ne a^225\) unless \(a=\pm 5\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ahh i gotchaa. seriously thank you so much! youre amazingg! i might message you when im in need of a lesson lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0right on! good luck, have a great day and keep on learning!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.