Question

If 1/a +1/b =1/c
Then a=

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$a = \frac{bc}{b - c}$

Step-by-step explanation:

We will use simple rules of equalities to arrive at our answer.

Let us begin by rewriting the given equation,

$\frac{1}{a} + \frac{1}{b} = \frac{1}{c}$

We will need to make "a" our subject.

$\frac{1}{a} = \frac{1}{c} - \frac{1}{b} \\ = > \frac{1}{a} = \frac{b - c}{bc}$

Cross-multiplying,

$bc = a(b - c) \\ = > a = \frac{bc}{b - c}$