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Mathematics 18 Online
OpenStudy (anonymous):

OK I have a question. It is an algebraic expression

OpenStudy (anonymous):

\[12(\frac{ 1 }{ 3^{a2} }- \frac{ 5 }{ 6{a} } + \frac{ 7 }{ 12 })\]

OpenStudy (anonymous):

Its says to multiply

OpenStudy (dumbcow):

is that 3^(2a) or 3^(a^2) ?

OpenStudy (anonymous):

I wrote it correctly

OpenStudy (anonymous):

Its 12(1/3a2-5/6a+7/12)

OpenStudy (dumbcow):

sorry...just distribute the 12 to each term...reducing each fraction

hero (hero):

You still have to combine the fractions

OpenStudy (anonymous):

Inside the parenthesis is where I am having the issue

OpenStudy (anonymous):

can you explain it

hero (hero):

You can also combine the fractions first before multiplying the 12

hero (hero):

Anytime you're trying to combine fractions, finding the LCD is necessary.

OpenStudy (anonymous):

which is 12

OpenStudy (anonymous):

but I get confused with the a2 on the bottom doesnt all the bottom numbers need it

hero (hero):

the LCD is \(3^{a^2} \dot\ 6a \dot\ 12\)

OpenStudy (anonymous):

now dont I have to get all them to 12a2

OpenStudy (lgbasallote):

this thing will really just make sense *if* the question was written incorrectly..

OpenStudy (anonymous):

I wrote it down like it said as the very top

OpenStudy (lgbasallote):

are you sure it's not written as \[12 \left( \frac{1}{3a^2} - \frac{5}{6a} + \frac{7}{12} \right)\]

OpenStudy (anonymous):

yes just like that

OpenStudy (lgbasallote):

because i have never seen a notation such as \(3^{a2}\)

OpenStudy (lgbasallote):

see? now it'll make sense lol

OpenStudy (anonymous):

I hate how it writes it out

OpenStudy (lgbasallote):

yes. darn autocorrect right?

OpenStudy (anonymous):

ok so I know all the bottom has to be the same inside the parenthesis correct to get the lowest LCD which is 12

OpenStudy (lgbasallote):

i think @dumbcow and @Hero can resume explaining now the right question. \[12 \left(\frac{1}{3a^2} - \frac{5}{6a} + \frac{7}{12} \right)\]

OpenStudy (anonymous):

can you just help me @lgbasallote

OpenStudy (lgbasallote):

well i have to go soon....

OpenStudy (anonymous):

the others are no longer attached to this question

OpenStudy (anonymous):

@Hero can you help now

hero (hero):

@mandypruitt said that her original fraction was correct as written so I believed her.

OpenStudy (anonymous):

I wish the book gave an example of how to do this one. @Hero I thought I wrote it right I am still learning how to write these correctly

hero (hero):

It still doesn't change much since the lcd is \(3a^2 \dot\ 6a \dot\ 12\)

OpenStudy (anonymous):

isnt it 12?

hero (hero):

No, it's not 12

OpenStudy (anonymous):

Can you work the problem out for me so I can see what i am doing wrong.

hero (hero):

It's only 12 if you assume a = 2, but we can't assume that

OpenStudy (anonymous):

I am so confused I always thought that if there were exponents in the denominator they all have to be the same so you would need to get them the same also

hero (hero):

the only way to get the denominators the same is to find the lcd, which I've already provided you with.

OpenStudy (anonymous):

wow when someone asks for your help you just leave @Hero

hero (hero):

I'm helping other students as well.

hartnn (hartnn):

u still need help @mandypruitt ?

hero (hero):

Okay, I'll show you how to do it in vyew. Just this once....

hero (hero):

I posted a link in vyew

OpenStudy (anonymous):

yes @hartnn

hartnn (hartnn):

so u got LCM of 3,6,12 as 12 right? now whats the LCM of a and a^2?

OpenStudy (anonymous):

a2 @hartnn

hartnn (hartnn):

right ,its a^2 so the LCM of 3a^2,6a and 12 is actually 12a^2 ok? u have to make THIS as common denominator...

hartnn (hartnn):

did u get this much? @mandypruitt

OpenStudy (anonymous):

@Hero thank u

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