How do you solve 1/2 = 1/4 + 1/r + 1/3 ?

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How do you solve 1/2 = 1/4 + 1/r + 1/3 ?

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Answer 1 · 2018-06-06T12:19:46

$r = - 12$ $r=-12$

Explanation:

Writing
$\frac{1}{2} - \frac{1}{4} - \frac{1}{3} = \frac{1}{r}$ $1/2-1/4-1/3=1/r$
this is
$\frac{6 - 3 - 4}{12} = \frac{1}{r}$ $(6-3-4)/12=1/r$
$- \frac{1}{12} = \frac{1}{r}$ $-1/12=1/r$
so $r = - 12$ $r=-12$

Answer 2 · 2018-06-06T12:21:48

By arranging the equation

Explanation:

$\frac{1}{2} = \frac{1}{4} + \frac{1}{r} + \frac{1}{3}$ $1/2 =1/4 + 1/r + 1/3$

Collect numbers on one side:

$\frac{1}{2} - \frac{1}{4} - \frac{1}{3} = \frac{1}{r}$ $1/2 - 1/4 - 1/3 = 1/r$

$\frac{6}{12} - \frac{3}{12} - \frac{4}{12} = \frac{1}{r}$ $6/12 - 3/12 - 4/12 = 1/r$

$- \frac{1}{12} = \frac{1}{r}$ $-1/12 = 1/r$

$- r = 12$ $-r=12$

$r = 12$ $r=12$

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How do you solve 1/2 = 1/4 + 1/r + 1/3 ?

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