## anonymous one year ago Is anyone good with simplifying complex fractions? (Algebra 2)

1. Mertsj

We all are.

2. anonymous

Awesome would you be able to help me out with one quick problem and walk me through it?

3. anonymous

YUP

4. anonymous

|dw:1434937718677:dw|

5. anonymous

This is what the problem looks like. Sorry about the crooked lines... My OCD is killing me.

6. Mertsj

multiply the numerator and denominator by 60

7. anonymous

Is this for FLVS lol

8. anonymous

9. anonymous

Okay so I multiply everything by 60?

10. anonymous

Ah, I have Mr. Schwartz currently. But btw it is easier to see it as a division problem hold on a sec

11. Mertsj

|dw:1434937889919:dw|

12. Mertsj

|dw:1434937948482:dw|

13. anonymous

|dw:1434937948286:dw|

14. anonymous

And yes my OCD is killing me too

15. Mertsj

|dw:1434937978090:dw|

16. anonymous

Now since you see it as a division problem, find the common denominator and etc. But then again, mertsj's method works well too.

17. Tommynaut

In this sort of situation, I would go about it by realising that division is the inverse of multiplication - by that, I mean that something like $\frac{ 3 }{ 4 } \div \frac{ 5 }{ 6 } = \frac{ 3 }{ 4 } \times \frac{ 6 }{ 5 }$ All I did here was flip the fraction that I'm dividing by. So, in your situation, you can imagine that the fraction on the top is beind divided by the fraction on the bottom, so you can just multiply the fraction on the top by the inverse (flipped version) of the fraction on the bottom.

18. anonymous

yup tommynaut is correct

19. anonymous

so with the division equation version that i see it turns out to be like this|dw:1434938190523:dw|

20. anonymous

Ahhh okay I gotcha. Sorry I just had a problem with my laptop or I would've replied sooner.

21. anonymous

You know how to do these type of equation right?

22. anonymous

So then I would just cross multiply, correct?

23. anonymous

yes

24. anonymous

show me the choices quickly? I just wanna double check

25. anonymous

The choices are:

26. anonymous

5 x over quantity x minus 8 5 x over 2 open parentheses x minus 4 close parentheses 5 open parentheses x plus 6 close parentheses over 6 open parentheses x minus 8 close parentheses open parentheses x plus 6 close parentheses open parentheses x minus 8 close parentheses over 30

27. anonymous

I would screenshot but I have a chromebook and I'm not sure how to screenshot on here. :/

28. mathstudent55

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29. anonymous

c would be correct, do you know how? mertsj's is the best way to go

30. anonymous

my way and mathstudent55's way is a bit extensive but all in all we get the same answer

31. anonymous

Wow awesome thanks so much everyone. Yeah, I followed mertsj's steps and I got the same answer. This was part of a review and I wanted to make sure I was doing this correctly. Thanks so much everyone for helping! <3 :)

32. mathstudent55

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33. anonymous

I would give everyone a medal but I'm not sure if I can. :(