Using the formula 1/a + 1/b = 1/c, express: The variable b in terms of the variables a and c

Step-by-step explanation:

The given formula is expressed as

1/a + 1/b = 1/c

We want to express variable b in terms of the variables a and c. We would make variable b the subject of the formula.

Step 1

Subtracting 1/a from the left hand side of the equation and the right hand side of the equation, it becomes

1/a - 1/a + 1/b = 1/c - 1/a

1/b = 1/c - 1/a

1/b = (a - c) / ac

Taking the reciprocal of the left hand side of the equation and the right hand side of the equation, it becomes

b = ac / (a - c)