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16 February, 18:31

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

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  1. 16 February, 18:56
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    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)
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