Mathematics
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OpenStudy (anonymous):
5/6k+1/3=-7--2/3K
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OpenStudy (mathlegend):
Remember the goal is to get the variable by itself.
OpenStudy (mathlegend):
Are you there?
OpenStudy (anonymous):
yes
OpenStudy (mathlegend):
Okay so if I were you I would add \[\frac{ 2 }{ 3} + \frac{ 5 }{ 6}=?\]
OpenStudy (anonymous):
but is negative 2
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OpenStudy (mathlegend):
So the -2/3k isn't a fraction?
OpenStudy (anonymous):
yes
OpenStudy (mathlegend):
Well if it is a negative fraction that is why we are adding it to the other like term.
OpenStudy (anonymous):
oh k
OpenStudy (mathlegend):
\[\frac{ 2 }{ 3}+\frac{ 5 }{ 6}=?(Answer)\]
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OpenStudy (mathlegend):
Make them common denominators....
OpenStudy (anonymous):
yes. i got 1/6
OpenStudy (mathlegend):
That is incorrect.
OpenStudy (mathlegend):
If I were you I would take 2/3 and multiply the numerator and the denominator by 2. This way you get the denominators the same.
OpenStudy (mathlegend):
\[\frac{ 4 }{ 6}+\frac{ 5 }{ 6}=?\]
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OpenStudy (anonymous):
would it be negative -4/6 sense 2 is negative
OpenStudy (mathlegend):
No, we added 2/3 on both sides.
OpenStudy (anonymous):
oh k
OpenStudy (mathlegend):
For example if we just had 5k+1=-7-2k
We would add 2 to both sides
OpenStudy (anonymous):
got it
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OpenStudy (mathlegend):
So what is 5/6 + 4/6=?
OpenStudy (anonymous):
3/2
OpenStudy (mathlegend):
Okay good... so now we have: \[\frac{ 3 }{ 2}k + \frac{ 1 }{ 3}= -7\]
OpenStudy (mathlegend):
So now how do you move 1/3 to the right side of the equal sign?
OpenStudy (anonymous):
subtract 1/3
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OpenStudy (mathlegend):
Good so can you do the operation: -7-1/3
OpenStudy (anonymous):
so i subtract -7-1 and get -8/3
OpenStudy (mathlegend):
Remember finding a common denominator.
OpenStudy (mathlegend):
Turn 7 into a fraction.
\[\frac{ -7 }{ 1}-\frac{ 1 }{ 3}\]
OpenStudy (mathlegend):
Multiply the 1st fraction by 3
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OpenStudy (anonymous):
oh k
OpenStudy (mathlegend):
\[\frac{ -21 }{ 3}-\frac{ 1}{ 3}\]
OpenStudy (mathlegend):
What does that equal?
OpenStudy (anonymous):
-22/3
OpenStudy (mathlegend):
Good
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OpenStudy (mathlegend):
Now we need to divide
OpenStudy (mathlegend):
\[\frac{ 3 }{ 2}k \div \frac{ -22 }{ 3}\]
Remember when dividing fractions you just cross multiply. What do you get?
OpenStudy (anonymous):
-44/9
OpenStudy (mathlegend):
Flip that... 9/-44
OpenStudy (anonymous):
is that the answer
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OpenStudy (mathlegend):
Yes
OpenStudy (anonymous):
thanks
OpenStudy (mathlegend):
:)