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Mathematics 7 Online
OpenStudy (andriod09):

Algebra II question, a fraction on top of a fraction, please help me!

OpenStudy (anonymous):

a fraction on top of a fraction can be rewritten as say (2/3)/(3/4) then you can flip the second one because to divide you multiply by the reciprocal (2/3)*(4/3) then you multiply across the fractions (2*4)/(3*3).

OpenStudy (andriod09):

\[\huge\frac{\frac{30x^2+27x+6}{9x^2-49}}{\frac{30x+15}{30x-70}}\] That is the fraction.

OpenStudy (andriod09):

@cpattison

OpenStudy (andriod09):

@ganeshie8 @Hero

OpenStudy (anonymous):

oh okay

OpenStudy (anonymous):

one second!

hero (hero):

Put a divide sign between both of them, then put them next to each other. You'll know what to do then.

hero (hero):

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

OpenStudy (anonymous):

((30x2+27x+6)/(9x2−49))/((30x+15)/(30x−70)) is where we start. then you can flip the bottom half and multiply ((30x2+27x+6)/(9x2−49))*((30x−70)/(30x+15)) then you just multiply though ((30x2+27x+6)*(30x−70))/((9x2−49)*(30x+15))

OpenStudy (anonymous):

yeah so flip that second fraction

OpenStudy (anonymous):

i really have to learn how to use the equation bar

OpenStudy (andriod09):

@cpattison you should use the \\[LaTeX\] by using the \[\\] minus the \ in the middle.

OpenStudy (anonymous):

agreed

hero (hero):

I just copied and pasted what @andriod09 wrote with a few minor changes :P

OpenStudy (andriod09):

\[\huge\text i-know-how-to-use-LaTeX\]

hero (hero):

Not as good as me :P

OpenStudy (andriod09):

the answer isn't supposed to be like that. it is supposed to be on top of each other though. thats what it says. the answer it: \[\frac{2(5x+2)}{(x-7)}\]

hero (hero):

You failed to execute the proper steps. That's why you didn't get it right

hero (hero):

Did you flip the second fraction?

OpenStudy (andriod09):

no. i don't know how to solve it like that, you have to factor it out is what the book says, but i don't get it.

hero (hero):

If you had \[\frac{3}{6} \div \frac{3}{9}\] you would have no clue what to do?

OpenStudy (andriod09):

thats simple: \[\frac{3}{6}\div\frac{3}{9}=\frac{1.5}{1}\]

OpenStudy (andriod09):

\[:{\]

hero (hero):

actually, you have it but you failed to execuate the reciprocal rule

OpenStudy (andriod09):

\[:[\]

hero (hero):

\[\frac{3}{6}\div\frac{3}{9}=\frac{3}{6} \times \frac{9}{3} = \frac{3}{2}\]

hero (hero):

But really, you're supposed to do the reciprocal then reduce in this manner: \[\frac{3}{6}\div\frac{3}{9}=\frac{3}{6} \times \frac{9}{3} =\frac{1}{2} \times 3= \frac{3}{2}\]

hero (hero):

Show me the full steps of how you got 1.5 from 3/6 div 3/9 @andriod09

hero (hero):

You must have used a calculator bro, lol

hero (hero):

Because you never divide by fractions to get a decimal. Only a calculator would do that.

OpenStudy (andriod09):

\[\frac{3}{6}\div\frac{3}{9}=\frac{3}{6}\times\frac{9}{3}=\frac{1}{2}\times3=\frac{3}{2}\]

OpenStudy (andriod09):

btw, hero i literally typed all that out.

hero (hero):

Good for you. Now do your original problem in the same manner.

OpenStudy (anonymous):

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