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1/a+1/b=1/c i have to isolate b, how do i do that?

Guest Sep 5, 2017

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 #1
avatar+6915 
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Help me isolate b!

1/a+1/b=1/c i have to isolate b, how do i do that?

 

\(\color{Mahogany}\frac{1}{a}+\frac{1}{b}=\frac{1}{c}\\ \frac{1}{b}=\frac{1}{c}-\frac{1}{a}\\ \frac{1}{b}=\frac{a-c}{ac}\)           \(\large -\frac{1}{a}\\ common\ denominator\\ reciprocal\)  

 

\(\large b=\frac{ac}{a-c}\) 

 

laugh  !

asinus  Sep 5, 2017
edited by asinus  Sep 5, 2017
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1+0 Answers

 #1
avatar+6915 
+1
Best Answer

Help me isolate b!

1/a+1/b=1/c i have to isolate b, how do i do that?

 

\(\color{Mahogany}\frac{1}{a}+\frac{1}{b}=\frac{1}{c}\\ \frac{1}{b}=\frac{1}{c}-\frac{1}{a}\\ \frac{1}{b}=\frac{a-c}{ac}\)           \(\large -\frac{1}{a}\\ common\ denominator\\ reciprocal\)  

 

\(\large b=\frac{ac}{a-c}\) 

 

laugh  !

asinus  Sep 5, 2017
edited by asinus  Sep 5, 2017

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