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# Help me isolate b!

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

Guest Sep 5, 2017

#1
+6915
+1

Help me isolate b!

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

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

$$\large b=\frac{ac}{a-c}$$

!

asinus  Sep 5, 2017
edited by asinus  Sep 5, 2017
Sort:

#1
+6915
+1

Help me isolate b!

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

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

$$\large b=\frac{ac}{a-c}$$

!

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

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