Mathematics
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OpenStudy (anonymous):
medal and fan
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OpenStudy (studygurl14):
Hello @bkjbhkjbnm325 ! Welcome to OpenStudy.
What's your question?
OpenStudy (anonymous):
What is the value of z for the equation fraction 1 over 4z = −fraction 7 over 8 + fraction 1 over 8z?
−3 −7 3 7
OpenStudy (studygurl14):
\(\Large\frac{1}{4z}=-\frac{7}{8+\frac{1}{8z}}\)
Like that?
OpenStudy (anonymous):
idk i just need help on it
OpenStudy (studygurl14):
Your first step would be to cross-multiply. Do you know how to do that?
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OpenStudy (anonymous):
no its 1/4z=-7/8+1/8z
OpenStudy (studygurl14):
Oh, I see.
\(\Large\frac{1}{4z}=-\frac{7}{8}+\frac{1}{8z}\)
OpenStudy (studygurl14):
Okay, that means your first step would to find the lowest common multiple of the denominators.
OpenStudy (studygurl14):
Do you know how to do that?
OpenStudy (studygurl14):
Hint: one of the denominators is already the lowest common multiple
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OpenStudy (anonymous):
yea
OpenStudy (anonymous):
yes
OpenStudy (studygurl14):
Okay, so what is it?
OpenStudy (anonymous):
yea
OpenStudy (anonymous):
the 1/8?
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OpenStudy (anonymous):
is it -7??
OpenStudy (studygurl14):
No, it's not.
OpenStudy (studygurl14):
The denominators are 4z, 8, and 8z. Notice how 4z, 8, and 8z are all factors of 8z.
OpenStudy (anonymous):
yea
OpenStudy (studygurl14):
So, your goal is change the fractions so that they all have a denominator of 8z.
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OpenStudy (studygurl14):
can you do that?
OpenStudy (anonymous):
kinda
OpenStudy (studygurl14):
show me, and i'll correct if need be
OpenStudy (anonymous):
|dw:1427907576473:dw|
thats all i got