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OpenStudy (anonymous):
WILL FAN AND MEDAL!!!!!!!!
5/3p + 2/3=5+p/2p
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jimthompson5910 (jim_thompson5910):
Is the equation this?
\[\Large \frac{5}{3}p + \frac{2}{3} = 5 + \frac{p}{2p}\]
OpenStudy (anonymous):
close, the p is with the 3 in the first one
jimthompson5910 (jim_thompson5910):
so
\[\Large \frac{5}{3p} + \frac{2}{3} = 5 + \frac{p}{2p}\]
??
OpenStudy (anonymous):
yes
jimthompson5910 (jim_thompson5910):
Are you able to identify the LCD?
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OpenStudy (anonymous):
2?
jimthompson5910 (jim_thompson5910):
2 is somewhat part of it
jimthompson5910 (jim_thompson5910):
it's actually 3*2p = 6p
jimthompson5910 (jim_thompson5910):
what would happen if you multiplied both sides by the LCD 6p?
OpenStudy (anonymous):
35p^2/18p^2+12p/18p=35p+6p^2/12p^2
right??
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jimthompson5910 (jim_thompson5910):
Multiply both sides by 6p to get
\[\Large \frac{5}{3p} + \frac{2}{3} = 5 + \frac{p}{2p}\]
\[\Large 6p \left(\frac{5}{3p} + \frac{2}{3}\right) = 6p \left(5 + \frac{p}{2p}\right)\]
\[\Large 6p\left(\frac{5}{3p}\right) + 6p\left(\frac{2}{3}\right) = 6p \left(5\right) + 6p \left(\frac{p}{2p}\right)\]
\[\Large \frac{30p}{3p} + \frac{12p}{3} = 30p + \frac{6p^2}{2p}\]
\[\Large 10 + 4p = 30p + 3p\]
Notice how the fractions are now gone.
jimthompson5910 (jim_thompson5910):
Do you see how I'm getting that?
OpenStudy (anonymous):
sort of..
jimthompson5910 (jim_thompson5910):
Which step is confusing you?
OpenStudy (anonymous):
nvm, i get it. so now what?
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