## andriod09 Group Title I need help on a Factoring problem. Its factoring a fraction, on top of another factoring fraction. Its in the comments one year ago one year ago

1. andriod09 Group Title

$\huge\frac{\frac{30x^2+27x+6}{9x^2-49}}{\frac{30x+15}{30x-70}}$

2. SmoothMath Group Title

The size of those fraction bars is important. The top two appear to be the same length, and the third is smaller. Correct?

3. strawberry17 Group Title

To factor the numerator of the top fraction, you would divide each number by 3 and get: 3(10x^2 + 9x +2)

4. andriod09 Group Title

no, the fracton bar on the top is supposed to be in the middle, i.e. it should be the top fraction normal bar, then solid black bar, then bottom fraction normal. @strawberry17 how would i do that?

5. SmoothMath Group Title

$$\Huge \frac{30x^2+27x+6}{9x^2-49} \div\frac{30x+15}{30x-70}$$ $$\Huge =\frac{30x^2+27x+6}{9x^2-49} *\frac{30x-70}{30x+15}$$

6. andriod09 Group Title

its supposed to be: $\frac{30x^2+27x+6}{9x^2−49}$ over with the solid black line, $\frac{30x+15}{30x−70}$

7. SmoothMath Group Title

Like I put, Andriod?

8. andriod09 Group Title

i don't understand what you did.

9. SmoothMath Group Title

One fraction divided by another fraction.

10. andriod09 Group Title

i don't know. i tried to put it like it is in the book. thats what it says,

11. andriod09 Group Title

yes, but i get very confused with fraction.

12. SmoothMath Group Title

Okay, Andriod, when we divide by a fraction, it's the same as multiplying by the reciprocal. That is, $$\div 2$$ is the same as $$\large *\frac{1}{2}$$ $$\large \div\frac{2}{3}$$ is the same as $$\large *\frac{3}{2}$$

13. SmoothMath Group Title

etc. So when we see $$\huge\div \frac{30x+15}{30x-70}$$ it's easier for us if we rewrite it as $$\huge *\frac{30x-70}{30x+15}$$

14. andriod09 Group Title

ik that much, but i don't know what to do wit hthe FRACTIONS, i.e. i know the KFC method, but what/how do i factor the fraction?

15. strawberry17 Group Title

@andriod09 do you understand how I factored out 3 from the numerator of the top fraction?

16. SmoothMath Group Title

What does KFC stand for?

17. andriod09 Group Title

K=keep F=flip C=change @strawberry17 i have not a clue.

18. SmoothMath Group Title

Andriod, look for a common factor. With $$30x^2 + 27x + 6$$ you can notice that 30=3*10 27= 3*9 6= 3*2 so they have a common factor of 3.

19. SmoothMath Group Title

I agree, Strawberry. Rewriting it is good, but it's good to keep it factored as it is.

20. andriod09 Group Title

i don't understand. $:($$:L$$:/$

21. andriod09 Group Title

yes. i undertand what factoring is. I don't konw how to factor a fraction. hence, why this post is here.

22. andriod09 Group Title

FACTORING A FRACTION IS ALL I DO NOT KNOW. I KNOW HOW TO FACTOR SOMETHING LIKE THIS: $x^2+3-27$

23. SmoothMath Group Title

Factoring a fraction is not different from factoring normally. Just look at the top and factor it normally. Then look at the bottom and factor it normally.

24. andriod09 Group Title

I DON'T KNOW HOW. :/

25. andriod09 Group Title

I DON'T KNOW HOW TO FACTOR A FRACTION.

26. andriod09 Group Title

just tell me how to do this problem please, i am getting really annoyed.